Reference electrode having a flowing liquid junction and filter members

ABSTRACT

A flowing junction reference electrode comprising a liquid junction member matched with a filter. The junction member and the filter are situated between a reference electrolyte solution and a sample solution. An array of nanochannels spans the junction member and provides fluid communication between the electrolyte solution and the sample solution. The filter is configured to allow a greater flux of electrolyte than that associated with the junction member. Preferably, the number of pores is greater than the number of nanochannels. The filter is preferably configured to have pores with an inner diameter that is the same or less than the inner diameter of the nanochannels. In some embodiment, the resistance of the filter is made lower relative to the resistance of the junction member by selecting suitable length, number, and inner diameter size for the pores of the filter relative to the nanochannels of the junction member.

PRIORITY CLAIM AND RELATED APPLICATIONS

This application hereby incorporates by reference herein, U.S.application Ser. No. 09/590,781, filed Jun. 8, 2000, issued as U.S. Pat.No. 6,599,409 on Jul. 29, 2003; U.S. application Ser. No. 09/738,881,filed Dec. 14, 2000, issued as U.S. Pat. No. 6,616,821 on Sep. 9, 2003;U.S. application Ser. No. 10/361,708, filed Feb. 6, 2003, issued as U.S.Pat. No. 7,025,871 on Apr. 11, 2006; U.S. application Ser. No.10/613,976, filed Jul. 2, 2003, issued as U.S. Pat. No. 7,344,627 onMar. 18, 2008; U.S. Application Ser. No. 60/138,141, filed Jun. 8, 1999;and U.S. Application Ser. No. 60/394,106 filed Jul. 3, 2002.

This application is a continuation of U.S. application Ser. No.10/613,976, filed Jul. 2, 2003, issued as U.S. Pat. No. 7,344,627 onMar. 18, 2008. U.S. application Ser. No. 10/613,976 is acontinuation-in-part of U.S. application Ser. No. 10/361,708 (filed Feb.6, 2003, issued as U.S. Pat. No. 7,025,871 on Apr. 11, 2006). U.S.application Ser. No. 10/613/976 is a continuation-in-part of U.S.application Ser. No. 09/738,881 (filed Dec. 14, 2000, issued as U.S.Pat. No. 6,616,821 on Sep. 9, 2003). U.S. application Ser. No.10/613,976 is a continuation-in-part of U.S. application Ser. No.09/590,781 (filed Jun. 8, 2000, issued as U.S. Pat. No. 6,599,409 onJul. 29, 2003). U.S. application Ser. No. 10/361,708 is a continuationof U.S. application Ser. No. 09/590,781 now U.S. Pat. No. 6,599,409,filed Jun. 8, 2000. U.S. application Ser. No. 09/738,881 is acontinuation-in-part of U.S. application Ser. No. 09/590,781 now U.S.Pat. No. 6,599,409 filed Jun. 8, 2000. U.S. application Ser. No.09/590,781 (filed Jun. 8, 2000) claims priority to U.S. Provisional No.60/138,141 (filed Jun. 8, 1999). U.S. application Ser. No. 10/613,976claims the benefit of U.S. Provisional No. 60/394,106, filed Jul. 3,2002.

This invention was made with United States Government support under SBIRPhase I and Phase II Grant Nos. DMI-9960665 and DMI-0110520 awarded bythe National Science Foundation. The United States Government hascertain rights in this invention.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The invention relates to potentiometric and electrochemical referenceelectrodes and, in particular, to composite liquid junction structuressuch as to be used in electrochemical reference electrodes forelectrochemical measurements of solutions. The invention moreparticularly relates to reference electrodes for use where measurementor control of potential is desired such as with pH or ISE potentiometricsensors used for laboratory analysis, for on-line process monitoring,for field measurements, or in any application where the improvedprecision or extended useful life of the sensor is desirable. Theinvention also relates to, and may also be used, in non-potentiometricapplications to be carried out at fixed potentials such as, for example,electrochemical machining and electro-organic synthesis.

2. Description of the Related Art

The invention is broadly concerned with reference electrodes, such asthe reference electrode portion of combination electrodes, and thereference portion of all potentiometric devices that employ a referenceelectrode to provide the relatively stable reference potential requiredin various measurements such as electroanalytical measurements,controlled potential coulometry, polarography, and the like.

Potentiometric measurements are used widely for the determination of pHand the detection of other specific ions in a variety of settings,including chemical processes, environmental monitoring, health care andbio-processes. The accuracy of these measurements depends on the abilityto measure the potential difference between a sensing electrode, whosepotential varies with the analyte concentration in the measured samplesolution, and a reference electrode, which ideally would maintain aconstant potential. The physical interface between the referenceelectrode (typically the electrolyte of the reference electrode) and thesample solution is referred to as the liquid junction. The stability ofthe reference electrode, and consequently the accuracy of potentiometricmeasurements, are dependent on the constancy of the liquid junction andmore particularly, the constancy of the potential across the liquidjunction. However, the liquid junction and more particularly, thepotential across the liquid junction are difficult to control andmaintain at a constant level. Typically, it is the change in theliquid-junction potential that introduces error into the electrochemicalmeasurement and results in the need for frequent sensor systemcalibration.

The errors observed in currently commercially available referenceelectrodes include transient or kinetic error, static error, andstirring error. Transient or kinetic error may arise from and typicallyrefers to the relatively slow response between measurements, and slowability to reach equilibrium, typically of five, ten, or fifteen minutesafter exposure to extreme solutions. This delayed response is primarilycaused by entrapment of sample solution within the physical junction.Transient error is typically a function of the time required to dispersethis entrapped layer of sample solution and obtain a direct interface.The extent of this error is determined by the duration of priorimmersion. Static errors may arise from and typically refer topersistent offset after equilibrium is reached. Large static errors aretypically caused by irreversible entrapment of sample solution deepwithin the physical junction structure. Stirring error may arise fromand typically refers to the shift in potential due to or associated withagitation of the sample solution. Stirring error is typically observedwhere there is a rate of agitation or flow of the sample. These errorsexist in potentiometric electrode measurements of sample solutions, buttend to be suppressed in standard buffers where electrode accuracy isbeing checked. Therefore, users may see no reason to disbelieve theerroneous readings obtained in non-standard solutions. See D. P.Brezinski, “Kinetic, Static, and Stirring Errors of Liquid JunctionReference Electrodes”, Analyst 108 (1983) 425-442; see also U.S. Pat.No. 4,495,052. These errors are large enough to be of practicalconsequence, and often correspond to relatively large difference inhydrogen ion (H+) concentration or activity. These errors, includingthose errors described above, tend to bias the measurements observed onpH meters by as much as 0.5 pH unit.

In typical, currently commercially available electroanalyticalmeasurement systems, the interface between the reference electrode'selectrolyte and the sample solution is the liquid junction. The junctionpotential at this sample-reference interface is related to a number offactors; it is an object of every reference electrode design to minimizethe effect of the factors that would cause the liquid junction potentialto drift or to vary in any way over time. Various materials have beenutilized in forming a liquid junction, including porous ceramic rods,porous polymer disks, wood dowels, ground glass sleeves, capillarytubes, agar gels, asbestos fiber bundle, and other porous materials ordevices, and the like. These junction structures are, in general,referred to as restriction devices because their function is to restrictthe outward flow or diffusion of electrolyte from the referenceelectrode. However, one important factor that limits the useful lifetimeof a reference electrode is that junction structures typically allow thesample solution to enter the junction structure. This transport ofsample solution into the junction, whether by diffusion, migration,convection or other mechanism, results in the contamination of thejunction structure and a resultant undesirable variation in the liquidjunction potential. Such variation typically necessitates re-calibrationof the electroanalytical measurement system. If this type ofcontamination of the junction continues over time, the junctionstructure may become fouled or clogged and develop even larger offsetpotentials and/or potentials that chronically drift despite repeatedattempts at re-calibration. In addition, sample solution will oftentransport past the junction structure and reach the reference half-cellitself, potentially causing additional adverse reactions.

Currently commercially available reference electrodes, especially thoseused for potentiometric measurements, are typically constructed based onone of two distinct designs. Each of these designs is meant to addressone principle limitation encountered when using reference electrodes formaking potentiometric measurements. However, each of these designs failsto address a distinct principle limitation encountered when usingreference electrodes for making potentiometric measurements.

One design category is often referred to as a flowing junction referenceelectrode. This design provides a stream of reference electrolyteflowing through a porous junction structure or member, in an attempt toprovide a relatively uniform liquid junction potential. While thisdesign is typically effective in providing a liquid junction potentialthat is more uniform over time than those of the alternate design,flowing junction reference electrodes typically require the use of largeamounts of electrolyte over relatively short periods of time. Thus,currently commercially available flowing junction reference electrodesrequire frequent maintenance to replenish the supply of this electrolytesolution. Furthermore, while flowing junctions are often designed tominimize this use of electrolyte by restricting the volumetric flow ofelectrolyte, in such flowing junctions designs the flow velocity isoften reduced to a velocity that is sufficiently low enough so that thesample solution enters the liquid junction structure, typically via masstransport (diffusion, migration, or convection). The presence of thissample solution in the junction structure causes variable junctionpotentials, loss of calibration, clogging of the junction structure,and, over time, failure of the reference electrode. See U.S. Pat. No.5,360,529.

The alternative design category is referred to as a non-flowing,diffusion junction reference electrode. This design depends on thesubstantially constant diffusion of electrolyte solution through aminimally porous junction structure to provide a steady liquid junctionpotential. While this design is highly susceptible to mass transport ofthe sample stream into the porous structure, the resulting drift inliquid junction potential may be slow enough to be tolerable in certainindustrial applications. While such electrodes require frequentre-calibration, they do not require replenishment of electrolyte to theextent that flowing liquid junction electrodes do. Furthermore, suchelectrodes do not require systems and associated equipment to feed thereference electrolyte to the electrode, as is the case for typicalflowing liquid junction electrodes.

Both reference electrode designs are in wide use but, based on theirrespective limitations, are typically used in different areas ofapplication. Where precision measurements are more often needed, theflowing liquid junction reference electrode is typically used. Thus theflowing junction design is most commonly used for laboratory referenceelectrodes and clinical analyzers. In the laboratory environment thereference electrolyte may be relatively easily refilled as needed, evenon a relatively frequent basis. Where it is desirable to minimizemaintenance and where precision may be sacrificed to certain degrees,the diffusion junction reference electrode is more often utilized. Thusthe diffusion junction reference electrode is typically used inindustrial potentiometric sensor designs. An industrial sensor that usesa non-flowing, diffusion junction reference will typically requirere-calibration on a more regular basis because of the relatively largeamount of transport of the sample stream into the liquid junctionstructure. It is therefore not unusual for the industrial operator toinstall a new sensor every three months instead of attempting tore-calibrate the old sensor. For this reason, the industrial pH sensorwith a built-in diffusion reference electrode is now a disposable itemin most industrial applications.

In summary, two principal problems with currently commercially availablereference electrodes are the frequent maintenance requirement of theflowing junction design electrodes and the frequent re-calibrationrequirements of the diffusion junction design electrodes. Morespecifically, nearly all flowing junction designs consume large amountsof electrolyte and this electrolyte needs to be replenished on a regularbasis. While there are a few flowing junction designs that require smallamounts of electrolyte, these designs have achieved this by greatlyreducing the electrolyte flow to the point that the sample solutionflows into the liquid junction structure. A slow flowing junctionreference electrode performs little better than a non-flowing, diffusionjunction reference electrode. On the other hand, the non-flowing,diffusion junction electrode requires no electrolyte replenishment butwill be subject to slow drift errors due to transport of the samplestream into the liquid junction structure. This drift typically preventssuch reference electrodes from being used for precision measurements.Frequently, such transport will cause an irreversible instability todevelop in the reference electrode that will render it incapable ofbeing re-calibrated. Because of these inherent shortcomings, sensorsemploying such reference electrodes are often designed to be thrown awayand replaced instead of re-calibrated. As a group, all non-flowing,diffusion junction reference electrodes have a very short operationallife measured in weeks and months and in the best of circumstancesseldom over one to two years.

Accordingly, there is a need in the art for an electrode design thatexhibits both the relatively stable potential of currently commerciallyavailable flowing junction designs and the relative lack of the need toreplenish reference electrolyte solution as found in currentlycommercially available non-flowing junction designs. Such a neededdesign would exhibit a relative stable junction potential over prolongedperiods of time, while not exhibiting the various limitations anddrawbacks of currently commercially available flowing junction andnon-flowing designs.

SUMMARY OF THE INVENTION

A microfluidic flowing liquid junction member, for use in a variety ofpotentiometric devices such as reference electrodes or combinationelectrodes, is described. This microfluidic flowing liquid junctioncomprises nanochannels in a microfluidic structure that creates asubstantially invariant liquid junction potential. The microfluidicflowing liquid junctions comprising nanochannels in a microfluidicstructure also preferably exhibit resistances across the junction memberthat are less than approximately 100, 10, 5, 2 or 1 MO. Low volume offlow through the array of nanochannels, and high velocities ofelectrolyte may be employed to prevent back diffusion of sample solutioninto the junction structure. Prevention of such back diffusion increasesthe precision and useful life of a reference electrode having thedescribed junction member. The microfluidic flowing liquid junctionmember is useful to construct highly stable, low maintenance, precisionelectrochemical sensors, including reference electrodes.

A flowing junction reference electrode exhibiting such heretoforeunattainable characteristics is described structurally as comprising acomposite microfluidic liquid junction member that is situated between areference electrolyte solution and a sample solution. This microfluidicliquid junction member has an array of nanochannels spanning the memberand physically connecting the reference electrolyte solution and asample solution. The reference electrolyte solution flows through thearray of nanochannels and into the sample solution at a linear velocity,and the sample solution does not substantially enter the array ofnanochannels. The sample solution does not substantially enter the arrayvia any mass transfer mechanisms such as diffusion, migration, andconvection. A sample solution that enters the array at a rate of lessthan approximately 2×10⁻⁹ moles per day, and preferably less thanapproximately 1×10⁻⁹ moles per day, should be considered as notsubstantially entering the array. The number of nanochannels in thearray is preferably between approximately 10⁸ and approximately 10, morepreferably less than approximately 10⁶, less than approximately 10⁵, andless than approximately 10⁴, and most preferably between approximately10⁴ and approximately 100. The number of nanochannels may also be, lesspreferably, between approximately 10 and approximately 1000, includingapproximately 10, approximately 40, approximately 100, approximately200, approximately 400, and approximately 800. Also preferably, thenanochannels are substantially straight and are substantially parallelto one another; such an array of nanochannels is herein described asanisotropic. The nanochannels are also preferably coated, and may becoated with, for example, metals, alloys, hydrophilic materials, orhydrophobic materials. The widths of any nanochannels in the array ofnanochannels are preferably substantially uniform, in that the width ofany nanochannel is substantially equal to the width of any othernanochannels in the array. The nanochannels preferably have widths ofgreater than approximately 1 nanometer and less than approximately 900nanometers, more preferably greater than approximately 10 nanometers andless than approximately 500 nanometers, and preferably between about 200and about 300 nanometers. The junction structure may be constructed outof any suitable material, and is preferably constructed of a polymer,most preferably the polymer is selected from the group consisting ofpolycarbonate and polyimide, and may also be constructed of otherstructurally strong polymers, silicon, glass, or ceramic.

The electrode may also further comprise a pressurized collapsiblebladder, an electro-osmotic pump, or other mechanical pump, or any othermeans for maintaining positive linear flow of the reference electrolytesolution through the array of nanochannels and into the sample solution.The disclosed reference electrode may be used as part of a combinationelectrode along with an appropriate sensing electrode such as a pHelectrode, an ion-selective electrode, a redox electrode, or the like.

A flowing junction reference electrode exhibiting such heretoforeunattainable characteristics may also be described as comprising areference electrolyte solution flowing through a junction member andinto a sample solution; wherein substantially no sample solution entersinto the junction member via mechanisms of mass transfer such asdiffusion, migration, or convection mechanisms. The linear velocity ofthe reference electrolyte solution flowing into the sample solution ispreferably greater than approximately 0.1 cm per second, more preferablygreater than approximately 0.5, and more preferably greater thanapproximately 1.0 cm per second. The volumetric flow rate of thereference electrolyte solution into the sample solution is less thanapproximately 60 μL per hour, and more preferably less thanapproximately 10 μL per hour. The microfluidic flowing liquid junctionreference electrode is capable of having a lifetime of greater than oneyear, and preferably greater than two, three, four, five, or ten years,during which variations of electrolytic potential are less thanapproximately 1 mV per year, and during which less than approximately100 ml of electrolyte flows into the sample solution, and morepreferably less than approximately 50 ml. The resistance across thejunction member is preferably less than approximately 100, 10, 5, 2 or 1MO.

Also disclosed is a microfluidic flowing junction reference electrodecomprising one or more filter members together with a microfluidicliquid junction member having an array of discrete nanochannels. Thiscombination may be referred to as an enhanced microfluidic flowingjunction. Such an enhanced microfluidic flowing junction may comprise afirst filter member having an array of pores; a microfluidic liquidjunction member having an array of discrete nanochannels; wherein arrayof pores and the array of nanochannels are configured to allow apressurized electrolyte solution to flow through the array of pores andthe array of nanochannels and into a sample solution; wherein thejunction member is positioned downstream from the first filter member,and wherein the electrolyte solution flows through the array ofnanochannels at a linear velocity greater than about 0.1 centimeter persecond, wherein the diameter of at least one pore in the array of poresis equal to or smaller than the diameter of at least one nanochannels inthe array of nanochannels; wherein the number of pores in the array ofpores is greater than the number of nanochannels of the array ofnanochannels; and wherein the sample solution does not substantiallyenter the array of nanochannels. The first filter member having an arrayof pores may be a first filter member having an array of nanochannels,and those nanochannels may be, preferably, discrete and, even morepreferably, substantially parallel, nanochannels.

The filter member may be any conventional filter configured to achievethe purpose of the electrode. Specifically, the filter should be capableof and permit at least a volumetric flow that is equal to or greaterthan the volumetric flow capacity of the junction and should serve tocapture particles that would otherwise lodge in the junction.Accordingly, the filter member may be anisotropic or isotropic, may haveuniform or varied pore sizes, may have discrete or interconnected pores,and should include at least some pores having an effective diameterequal to or smaller than the effective diameter of the nanochannels inthe junction. In a preferred embodiment, at least one filter membercomprises an anisotropic array of discrete nanochannels that serve aspores. An electrode comprising such a preferred electrode is configuredsuch that the first array of nanochannels in the filter member and thesecond array of nanochannels in the junction member allow a pressurizedelectrolyte solution to flow through the first array and the secondarray and into a sample solution, and wherein the microfluidic flowingliquid junction is positioned downstream from the filter member, andfurther wherein the electrolyte solution flows through the second arrayat a linear velocity greater than about 0.1 centimeter per second.

The electrode may be further configured such that a typical diameter ofthe nanochannels of the first array is equal to or smaller than atypical diameter of the nanochannels of the second array, and whereinthe number of nanochannels of the first array is greater than the numberof nanochannels of the second array; and further wherein the samplesolution does not substantially enter the second array.

BRIEF DESCRIPTION OF THE DRAWINGS

The accompanying drawings, which are incorporated in and constitute apart of the specification, are included herein to illustrate certainpreferred embodiments of the invention and, together with the remainderof the written description and claims provided herein, including theDetailed Description of the Preferred Embodiments, serve to explain theprinciples of the invention. The accompanying drawings are not intendedto limit or otherwise define the invention.

FIG. 1 depicts a schematic cross-sectional view of a reference electrodewith means for holding the microfluidic flowing liquid junction in placeat the end of the electrolyte reservoir.

FIG. 2 depicts a detailed schematic cross-sectional view of a means forholding the microfluidic liquid junction structure in place.

FIG. 3 depicts a schematic exploded diametric view of the means forholding the microfluidic liquid junction structure in place.

FIG. 4 depicts a schematic cross-sectional view of certain elements of apreferred microfluidic flowing liquid junction structure and a preferrednanochannel array.

FIG. 5 is an illustrative view representing a single planar polymermicrofluidic flowing liquid junction structure in which anisotropicnanochannels have been fabricated.

FIG. 6 depicts two schematic diametric views illustrating steps in thefabrication of a multi-planar layer polymer junction structure withanisotropic nanochannels and supporting microchannels.

FIG. 7 depicts a detailed schematic cross-section view showing detail ofthe region in which the nanochannels meet a microchannel in a preferredpolymer structure.

FIG. 8 depicts a diametric illustrative view of a microfluidic flowingliquid junction structure having nanochannels and supportingmicrochannels that has been fabricated from one planar element ofsilicon.

FIG. 9 depicts a schematic cross-section view showing the detail ofwhere the nanochannel meets a microchannel in a silicon microfluidicflowing liquid junction structure.

FIG. 10 depicts diametric views illustrating steps in the fabrication ofa preferred glass microfluidic flowing liquid junction structure frommultiple planar glass elements.

FIG. 11 depicts a schematic cross-sectional view of a glass microfluidicflowing liquid junction structure.

FIG. 12 is a plot of the flux (linear flow) through a nanochannel arrayand the average velocity (v) through a single nanochannel as a functionof the effective radius of the nanochannel.

FIG. 13 is a set of concentration profiles in a liquid junction, plottedas a function of velocity, and as described in Equation (7).

FIG. 14 is a schematic perspective view of a system having multiplefilters in conjunction with a microfluidic flowing liquid junction.

FIG. 15 is a schematic cross-sectional view of one embodiment of amicrofluidic flowing liquid junction and multiple filtration membersconfigured to form an enhanced microfluidic flowing liquid junction.

FIG. 16 is a schematic, exploded, perspective view of one embodiment ofa filtration-enhanced reference electrode system having a microfluidicflowing liquid junction cooperating with multiple filtration members.

FIG. 17 is a schematic, assembly, cross-sectional view of themicrofluidic flowing liquid junction and filtration members of FIG. 16.

FIG. 18 depicts flow experiment E-1007 with a plot of both measured flowrate (μl/hr) data and normalized flow rate data as a function of totaloperational time for a flow cell using an enhanced junction assemblyover a period of approximately 12,000 hours. These data were obtainedusing the first generation pressurized flow cell assembly designatedT-1007. ⋄: Measured flow rates, ▪: Flow rates normalized to a constant40 psig internal flow cell pressure.

FIG. 19 depicts flow experiment E-1022 with a plot of measured flowrates (μl/hr) as a function of total operational time for pressurizedflow cell assembly T-1022 with enhanced junction structure over a periodof approximately 2500 hours (over three months). Internal pressure ofthe flow cell was kept at a constant 40 psig. Polycarbonate filtermembers having 200 and 100 nm pores were used to increase the longevityand stability of the junction array structure used in flow cell T-1022.The junction array structure nanochannels were etched to 175 nm i.d. andnot coated with PVP.

FIG. 20 depicts flow experiments E-1011 and E-1012 with a plot ofnormalized flow rates (μl/hr) as a function of total operational timefor pressurized flow cell assemblies T-1011 and T-1012 with enhancedjunction structures over a period of approximately 14,000 hours (about 7months). Measured flow rate data were normalized to a constant 40 psiginternal flow cell pressure. The junction structure of T-1011 wastreated with PVP in the BJC lab. The junction structure of T-1012 wastreated with PVP in the UCI cleanroom.

FIG. 21 depicts experiment PT-001 with a plot of the measured potential(mV) as a function of time (hours) for a reference electrode T-1026 withenhanced junction structure and for a diffusion junction referenceelectrode model number BJC 9015. Both reference electrodes were usedwith a common pH monoprobe to make potential measurements in 0.1 mM HClafter the electrodes had come to equilibrium in 7.00 buffer. The datashow the T-1026 rapidly coming to a stable potential and maintainingthat potential while the 9015 fails to achieve a stable potential in thesame time span. The plot shows the T-1026, the 9015, and the pHmonoprobe being immersed twice in the test solution during the course ofthe experiment.

FIG. 22 depicts experiment PT-032 with a plot of the measured potential(mV) as a function of time (hours) for the pressurized referenceelectrode T-1027, a quartz fiber laboratory reference electrode QF1, anda diffusion junction reference electrode model number BJC 9015. Allthree reference electrodes were used with a common pH monoprobe to makepotential measurements in pH 4.01 phthalate buffer over a period ofabout 140 hours. The data show both QF1 and the 9015 slowly drifting toa higher potential while the slope of the T-1027 data remains flat.

FIG. 23 depicts potential experiment PT-034 with a plot of the measuredpotential (mV) as a function of time (hours) for the pressurizedreference electrode T-1027, for a quartz fiber laboratory referenceelectrode QF1, and for a diffusion junction reference electrode modelnumber BJC 9015. All three reference electrodes were used with a commonpH monoprobe to make potential measurements in 0.1 M HCl over a periodof about 5 hours. The data show both the T-1027 and the research gradeQF1 rapidly reaching a stable potential within the first hour ofimmersion in the test solution while the 9015 has not reached a stablepotential after 5 hours of immersion.

FIG. 24 depicts flow experiment E-1026 with a plot of measured flowrates as a function of total operational time for a pressurizedreference electrode T-1026 with enhanced junction structure over aperiod of approximately 9,000 hours. Internal pressure of the flow cellwas kept at a constant 40 psig. Polycarbonate filter members having 80nm pores were used to increase the longevity and stability of thejunction array structure used in reference electrode T-1026. The nominaldiameters of the polyethylene junction array structure nanochannels are100 nm.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

A reference electrode is described that comprises a microfluidic flowingliquid junction having a well-defined junction region, said junctionregion containing a reference electrolyte, wherein said microfluidicliquid junction provides a linear rate of flow of said electrolyte thatis adequate to suppress measurable changes in the electric potential ofthe junction for a period of at least one week, and preferably of longerperiods including at least one month, at least three, six, and ninemonths, and at least one, one and one-half, two and as long as tenyears. An electrochemical or potentiometric sensor is also describedcomprising a pH electrode, an ion-selective electrode, or redoxelectrode, and a reference electrode. The reference electrode comprisingmeans for maintaining a liquid junction potential that remains stablefor a period of at least one week, and preferably for longer periodsincluding periods of at least one, two, three, six, or nine months, andat least one, one-and-one half, and two and as long as ten years.

By using a novel microfluidic junction structure having an array ofnanochannels, it has been unexpectedly found that heretoforeunattainably stable potentials, low junction potentials, and lowelectrolyte consumption rates for reference electrodes may be produced.These results are preferably attained by using combinations of thenumber of nanochannels and the nanochannel cross-section widths and apositive linear flow velocity for the reference electrolyte through thejunction. The junction structure of the invention may therefore becharacterized by, among other characteristics, (1) high electrolytevelocities to suppress transient, static, and stirring errors; (2)substantially constant junction potentials; (3) substantially constantpotential despite the existence of volumetric flow rate and flowvelocity fluctuations within the junction; (4) small junctionpotentials; (5) low junction resistance; and/or (6) extremely lowconsumption of electrolyte.

It is therefore one object of the invention to provide a referenceelectrode with a flowing liquid junction structure that will maintain aheretofore unavailable relatively constant, invariant, and fixedjunction potential, such potential being maintained for extended periodsof time, including periods of one month to up to one, two, three, andeven ten years, without the need to replenish the reference electrolyte.

Another object of the invention is to provide a flowing liquid junctionthat functions for relatively prolonged periods of time on a relativelysmall amount of electrolyte and provides a substantially constant liquidjunction potential that is substantially free of transient errors,static errors, and stirring errors.

It is another object of the invention to provide a reference electrodethat will have minimal transient, static, or stirring errors in samplesolutions of extreme pH solutions having relatively high concentrationsof caustics or acids, and/or solutions having low ionic strength.

Another object of the invention is to provide a flowing liquid junctionthat is neither a “leak path” nor a “restricted diffusion” junction. Inthis flowing liquid junction of the invention, there is hydrodynamictransport across the junction structure or member into the samplesolution. This hydrodynamic transport is preferably at a velocitysufficiently high to effectively counter back diffusion of the samplesolution into the nanochannels of the junction. Prevention of this backdiffusion contributes to the junction potential remaining stable andfree of transient, static, and stirring errors for prolonged periods oftime of one month to up to one, two, three, and even ten years.

Another object of the invention is to provide a flowing junctionstructure that provides a constant liquid junction potential over abroad range of electrolyte flow velocities. The liquid junctionstructure provides a constant potential that is relatively andsubstantially free of fluctuations even as the electrolyte velocityvaries within various velocity ranges.

It is another object of the invention to provide a flowing junctionreference electrode that functions for relatively long periods of timewithout the need for replenishment of the reference electrolyte or theassociated maintenance. The reference electrode according to theinvention may thus function for times of 1, 10, 20, 30, 40, 50, 60, 70,80, 90 or even 100 years while using less than 100 ml of electrolyte.

It is another object of the invention to provide a flowing junctionreference electrode that uses such small amounts of electrolyte that theelectrode will consume as little as 1 ml of electrolyte per year.Certain preferred embodiments of the invention allow the referenceelectrode to function for as long as 10, 20, 30, 40, 50, or as long as100 years on only 100 ml of electrolyte, or in other embodiments, lessthan a ml per week, a ml per month, or a ml per six months.

It is another object of the invention to provide a junction structurethat comprises an array of nanochannels that provide electrolyticresistance as high as 100, 10, 5 2 or 1 MO. While each separatenanochannel is high in electrolytic resistance, the entire array ofnanochannels provides a junction structure having an electrolyticresistance that is relatively low.

It is another object of the invention to provide a pressurized array ofnanochannels that achieves a linear velocity of electrolyte necessary tosubstantially and effectively counter back diffusion of the samplestream into the junction and thus avoid transient, static, and stirringerrors.

It is another object of the invention to provide a pressurized array ofnanochannels that achieves a linear velocity of electrolyte necessary tosubstantially and effectively reduce fouling and blockage by gas bubblesor particulate matter.

It is another object of the invention to provide a pressure differentialacross the array of nanochannels, through which reference electrolyteflows. The volume of each typical nanochannel in the array issufficiently small that high electrolyte velocity can be achieved forprolonged periods of time with the use of extremely small volumes ofelectrolyte. These prolonged periods of time can be as long as years andeven decades.

It is another object of the invention to provide a reference junctionstructure sufficiently robust to function in a process industrialenvironment and sufficiently small to be incorporated as a basicbuilding block into portable microfluidic module-based analyticaldevices.

It is another object of the invention to provide a liquid junctionstructure that can be miniaturized for compatibility and integrationinto microfluidic devices, such as for example hand-held analyticdevices for use in remote locations, and portable analytic devices foruse in field stations, battlefield hospitals, emergency stations or thelike.

Another object of the invention is to produce a reference junctionstructure with a nanochannel array that may be manufactured with planarfabrication techniques so that the reference junction structure may bebatch produced as an integral component of the various microfluidicstructures and devices.

Another object of the invention is to provide a substantially invariantliquid junction structure that can be fully integrated into mesoscaleand microscale microfluidic devices.

It is another object of this invention to provide a liquid Junctionstructure that can be miniaturized for compatibility and integrationinto microfluidic devices. A further, related object of this inventionis to provide a liquid junction structure, the manufacture of which maybe achieved through the use of current microfabrication techniques.

A device need not attain even one of these objectives to be within thescope of the invention.

General Discussion of the Uses and Design of Reference Electrodes

The microfluidic flowing liquid junctions and reference electrodesincorporating such microfluidic flowing liquid junctions, as disclosedherein, expand the use of electrochemical monitoring to remote and/orhazardous sites, and to in-line process conditions. Their use results inlower cost and improved efficiency of monitoring and controllingchemical and biological industrial processes. A reference electrode thatextends the useful lifetime of a sensor and maintains a calibration forprolonged periods dramatically reduces maintenance requirements,increases efficiency, and decreases costs.

Reference electrodes are most typically used for example in thefollowing way: In the measurements of ion concentration of solutions, areference electrode is commonly employed in conjunction with a sensingelectrode, such as a glass pH electrode, with both electrodes immersedin the test solution. The potential difference between the twoelectrodes is a function of the concentration of the specific ion insolution. A typical example is the conventional pH meter and pHelectrode pair used for measuring hydrogen ion concentrations ofsolutions.

Reference electrodes are also frequently used in conjunction with anion-sensing electrode such as a pH electrode, either separately or incombination, to measure the activity (which is a function of theconcentration) of a given ion in a sample solution. The two electrodes,for example, the reference electrode and the pH electrode, both of whichare immersed in the sample solution, typically are connected to a meansof measuring the potential difference between the two electrodes, forexample, an electrometer. The reference electrode is expected to providea constant electromotive force or potential against which the potentialof the ion-selective electrode is compared. The latter potentialconsists of a constant component from the electrochemical half-cell ofthe ion-selective electrode and a variable component which is thepotential across the sensing membrane and which is dependent upon theactivity (concentration) of the ion being measured. The variablecomponent, then, is readily correlated with ion activity (concentration)by known means. To give accurate results, the potential of the referenceelectrode should not substantially change with the composition of thesample. Redox electrodes are used in conjunction with referenceelectrodes in a similar manner, as described above, to measure theoxidation-reduction potential of the solution.

When used in such applications, reference electrodes are meant toestablish a relatively constant or stable potential, which in an idealsituation is independent of the composition of the liquid sample, but inpractice varies with the liquid junction potential. The liquid junctionpotential is the potential difference, created across the interfacebetween the sample solution and the reference electrolyte. Thisinterface is typically present at the junction member. The junctionpotential will vary with varying dilution and varying ion compositionbetween sample and electrolyte. These variations affect the measuredresults and they will become imprecise or misleading over time.

A reference electrode is typically comprised of an internal half-cellsupported in a tube containing a salt solution, the tube of saltsolution being known as a salt bridge. The salt bridge solution is aconcentrated equitransferent salt solution such as potassium chloride orpotassium nitrate. Ion flow between the salt solution and the sample ortest solution is made by liquid flow through a suitably formed apertureor passage in a tube, generally referred to as the liquid junctionstructure or the leak structure. Sometimes the entire unit consisting ofthe internal half-cell structure, the tube, the salt solution, and theliquid junction structure is referred to as a half-cell; however, forthe present specification, the entire unit will be referred to as areference electrode.

Definitions

As used herein, the term “nanostructures” refers to assemblies that havedimensions in the range of approximately 1 to approximately 500 nm.Accordingly, “nanochannels” refer to channels having widths ofapproximately 1 to approximately 500 mm.

As used herein, the terms “mass transfer” and “mass transport” eachrefer to mechanisms for the flow of mass including diffusion, migration,and convection.

As used herein, the phrase “the sample solution does not substantiallyenter the array of nanochannels” refers to the substantial absence ofback diffusion of the sample solution into the nanochannels of thejunction where such back diffusion would measurably alter the potentialof the reference electrode.

As used herein, the term “microfluidic” refers to a structure or devicehaving channels or chambers which are generally fabricated at the micronor submicron scale. Such structures and devices preferably have at leastone cross-sectional dimension in the range of about 10 nm to about 500μm. Techniques commonly associated with the semiconductor electronicsindustry, such as photolithography, wet chemical etching, etc, aretypically used in the fabrication of microfluidic structures. Suchstructures may be batch fabricated in, for example, silicon, polymers(including plastics), ceramic, glass, and quartz, using planarintegrated circuit fabrication techniques.

As used herein, “fluid mechanics” refers to the study of motion andcontrol of fluids. Micromachined fluid components offer the potential ofrevolutionizing applications where precise control of fluid flow is anecessity. Microfluidic systems comprising nozzles, pumps, channels,reservoirs, mixers, oscillators, and valves have been used in a varietyof applications including drug dispensation, ink-jet printing, andgeneral transport of liquids, gasses, and liquid/gas mixtures. Theadvantages of these devices include lower cost, enhancement ofanalytical performance, and lower consumption of reagents.

As used herein, the term “half-cell electrode” means the solid-phase,electron-conducting contact with the half-cell electrolyte, at whichcontact the half-cell oxidation-reduction reaction occurs whichestablishes the stable potential between the half-cell electrolyte andthe contact. See, e.g., U.S. Pat. No. 4,495,052.

As used herein, the term “electrochemical” refers to any use and/orsensor that exploits electrochemistry; and includes within it the term“potentiometric.”

As used herein, the terms “filter,” “filter member,” and “filtrationmember” are used interchangeably and refer to a structure made ofpermeable or semi-permeable material that allows passage through thestructure to some particles but not others; the particles typically passfrom one side of the structure to the other. It may be anisotropic orisotropic and may be constructed of various materials. For example, afiltration member may be a flat ceramic glass or polycarbonate diskhaving pores that prevent passage of particulates greater than aparticular threshold, for example, 100 nm, while allowing smallerparticulates to pass from one side of the disk to the other.

As used herein, the term “anisotropic,” when used to refer tonanochannels, refers to nanochannels that are discrete, and arepreferably substantially straight and are more preferably substantiallyparallel to one another.

As used here, the terms “pore” and “channel” are used interchangeablyand refer to a passage that allows matter to pass through a structuresuch as a filtration member or a liquid junction structure.

As used here, the term “liquid junction” means the interface between twoelectrolyte solutions of different composition. Across such a junctionthere arises an electrical potential difference.

As used here, the term “volumetric flow rate” means the rate oftransfer, per unit time, of a volume of electrolyte across a givensurface.

As used here, the terms “linear flow rate” and “linear velocity” areused interchangeably and mean the velocity or speed, expressed asdistance divided by time, of a solution, typically the electrolytesolution, as it traverses a point, typically along a pore ornanochannel, of a filtration member or a liquid junction structure.

As used here, the term “high flux filter” means a filtration membercapable of allowing a flow rate of electrolyte that is much higher thanthat associated with a liquid junction structure used in conjunctionwith the filtration member in a reference electrode. The size of theinner diameter of the pore and the number of pores may be chosen suchthat the filtration member is capable of a much greater flux than theflux capability of the liquid junction structure with which thefiltration member is used.

As used here, the terms “high capacity filter” and “high filteringcapacity” refer to a filtration member having a sufficient number ofpores that even after particulates clog a certain percentage of itspores, the flux capacity of the filtration member is nonethelesssubstantially greater than the flux capacity of a liquid junctionstructure used in conjunction with the filtration member in a referenceelectrode.

As used here, the term “high flux, high capacity filter” means afiltration member having both of the features described above.

As used here, the term “nanochannel array” means an anisotropic array ofsubstantially parallel channels that traverse the plane of the array ina direction that is substantially perpendicular to the plane.

Manufacture of the Invention

Microfabrication of electrochemical sensors using integrated circuit(IC) technology has been challenged by the failure to incorporate a truereference electrode into the structure. See Mark Madou, “Fundamentals ofMicrofabrication,” 1997, CRC Press, pg. 469. There is great potentialfor developing simple devices that are inexpensive, easy to fabricate,disposable, and highly sensitive. These devices can prove to be simpleminiaturized diagnostic tools for various state-of-health indicators.

Back diffusion of sample solution into the physical junction generates ajunction potential that not only shifts the calibration (generatingstatic error) but may also cause the sensor signal to drift at anymeasurement point (generating transient error). Such back diffusiongreatly increases the frequency of calibration required to obtainprecise data from the electrochemical sensor. This increases the cost ofownership and places limits on the amount of time that such a device canfunction unattended. This is especially a problem for remote sensingdevices that monitor water chemistry in lakes and streams and have aneed to operate for extended periods of time without maintenance orrecalibration.

Most attempts to minimize back diffusion require a flowing junctionstructure that needs large amounts of electrolyte and periodic refillingof the electrolyte reservoir and other associated maintenance. This addsto the operational complexity of the sensor device and increases thecost of ownership by requiring scheduled maintenance by a technician.This is especially a problem with remote environmental measuring devicesthat are deployed to monitor lake and stream water chemistry.

Volumetric and linear flow rate on the one hand, and electrolyteconsumption on the other hand, are typically compromised one for theother. The volumetric flow rate is typically increased in order toincrease the linear flow rate and, thereby, reduce back diffusion intothe reference structure. However, increasing the flow rate has thedetrimental effect of increasing the consumption of electrolyte. Asstated above, it is therefore an object of this invention to provide areference structure that prevents back diffusion while significantlyincreasing the linear velocity of the electrolyte flowing through thenanochannel array and minimizing volumetric flow rate. This velocitysuppresses back diffusion of the sample into the reference structure andenables the reference electrode to be operated for extended periods oftime without the need for recalibration.

Embodiments of the invention provide a junction structure that employsan array of nanochannels in a microfluidic structure to achieve a highelectrolyte velocity while at the same time utilizing very lowvolumetric flow rates and using only sparingly small amounts ofelectrolyte solution. The microfluidic structure with its array ofnanochannels can operate from 1 to 100 years on 100 ml of electrolyte.Alternatively a single milliliter of electrolyte could enable a small,disposable measurement device to operate with laboratory precision from2 weeks to a year in harsh environments such as battlefield fieldhospitals.

Embodiments of the present invention substantially mitigate these longstanding problems of reference junction stability and electrolyteconsumption. With the embodiments of the present invention,potentiometric sensors systems can function for extended periods of timewithout the need for recalibration or electrolyte replenishment.

Embodiments of the present invention provide a microfluidic referencejunction structure that enables precise potentiometric measurements tobe made with devices and systems that operate remotely and withoutmaintenance for long periods of time.

This reference structure can be miniaturized for compatibility andintegration into microfluidic devices. Such miniaturization can besubject to performance and stability tradeoffs with existing junctionstructures. The microfluidic flowing liquid junction described hereinachieves its superior performance because of its nanoscale structure. Itis already small enough to be included as a subcomponent in a microscaledevice such as a disposable microfluidic chip, disk, or block. Yet thesame microfluidic flowing liquid junction structure is robust enough tobe readily utilized as the liquid junction of a macroscale industrialin-line sensor assembly or a mesoscale analytical handheld device.

A reference electrode with an substantially invariant liquid junctionpotential using an innovative combination of microfluidic andnanotechnology is described. The variability of the liquid junctionpotential is a significant factor in the accuracy of potentiometricmeasurements. Removing this variable will result in potentiometricmeasurements with improved stability, precision and reproducibility. Areference electrode with an substantially invariant liquid junction iscapable of sustaining a stable potential. Reducing the calibration andmaintenance will diminish the cost and enhance the ability to monitorremote and hazardous sites.

The reference electrode described herein preferably uses microfluidicconcepts to incorporate a nanochannel array for the liquid junctionstructure. This microfluidic flowing liquid junction preferablymaintains a constant potential reproducible to ±0.5 mV (˜0.01 pH unit)and preferably has a life in excess of one year. An important factor isthe stability of the liquid junction. In an electroanalytical system theinterface between the reference electrolyte and the sample solutionconstitutes the liquid junction. Unless these two solutions have thesame initial composition, the system will not be at equilibrium. Thoughthe liquid junction region is not at equilibrium, if it has acomposition that is effectively constant, then the reversible transferof charge through the region can be considered. See Bard, A. J.;Faulkner, L. R. Electrochemical Methods; John Wiley & Sons: New York,1980; pp. 61-64. Providing an adequate outward flow of junctionelectrolyte serves to suppress changes in the junction potential. SeeBrezinski, D. P. The Analyst 1983, 108, 425. Maintaining a constantcomposition, and narrow, well-defined liquid junction region, thereforeprotects the reference electrode's liquid-junction potential stability.The system uses small volumes of electrolyte to make it a practicaldevice for operation for one year or more with a reduced level or nomaintenance.

Factors that affect the liquid junction potential include temperature,ionic strength, ionic composition, and transport of ionic and molecularspecies across the reference structure. The most stable and reproduciblereference electrodes use a flowing-liquid junction. The continuous flowof electrolyte maintains a constant rate of ion transport across theinterface. In addition, the constant flow of electrolyte also preventsback diffusion of the sample into the reference electrolyte. However, aconventional flowing junction can use large quantities of electrolyteand require substantial maintenance, which is impractical in mostindustrial applications.

The microfluidic flowing liquid junction may be comprised of nanochannelarrays in a structure that results from recent developments inmicrofluidic and nanotechnology. This technology makes it possible togenerate sufficient electrolyte flow through the liquid junction toeliminate contamination of the junction structure, yet use only minimalquantities of electrolyte. The microfluidic flowing liquid junctionpreferably maintains a constant potential for an extended duration oftime, and preferably limits the volume of electrolyte to a volume rateof flow of less than 50 ml per year (6 μl per hour). This allows forreference electrodes, and consequently potentiometric or electrochemicalsensors that require neither maintenance nor recalibration for periodsof preferably at least one week, two weeks, one months, six months, orone year.

The feasibility of using the microfluidic flowing liquid junction, maybe demonstrated by: (i) determining the electrolytic resistance acrossthe nanochannel arrays; (ii) characterizing the flow of electrolytethrough nanochannels as a function of applied pressure, nanochannelmaterial, and nanochannel dimension, (iii) determining the requiredelectrolyte velocity through a nanochannel to eliminate back diffusionof the sample solution into the reference electrode, and (iv) building alaboratory reference electrode and demonstrate a stable referencepotential using a microfluidic flowing liquid junction.

Furthermore the microfluidic flowing liquid junction may be furtheroptimized as follows: (i) optimizing the electrolyte velocity,nanochannel materials and dimensions, (ii) developing appropriatepumping mechanisms and designs.

The following description of the present invention is divided into twosections. The first section is a technical discussion of themicrofluidic flowing liquid junction and its use in a referenceelectrode, including theoretical and conceptual discussions of theliquid junction and its potential, transport through microchannels, andthe utility of nanochannel arrays. The second section lists anddescribes methods to achieve various tasks, including a discussion ofthe tests and experiments used to demonstrate the functionality of amicrofluidic flowing liquid junction for a reference electrode.

A Reference Electrode Having a Microfluidic Flowing Liquid Junction

Prototypes with a microfluidic flowing liquid junction are assembled inthe following manner. The preferred junction has a modular design foreasy exchange of different nanochannel arrays. The nanochannel array issandwiched between two silicon rubber gaskets (an id of approximately 1mm). The gaskets can be compressed and sealed to the electrode body. Theelectrode allows variable internal pressures. The reference electrolyteis forced to flow by applying a pneumatic pressure on the referencereservoir. The differential pressure is limited to 40 psig or to 100psig. The reference reservoir contains approximately 50 ml of 4.0 M KCl,and uses a Ag/AgCl reference electrode.

Determination of the Electrolytic Resistance of the Nanochannel Array

The electrolytic resistance of the nanochannel arrays is measured by ACimpedance. A Solartron AC impedance system is available. The nanochannelarray is clamped between the two halves of a U-tube permeation cell.Both half-cells are filled with 4.0 M KCl. The working and referenceelectrodes are placed in one half-cell (on one side of the array); thecounter electrode is placed in the other half-cell (on the other side ofthe array). The impedance at high frequencies (e.g., 50 kHz to 100 kHz)is real and corresponds to the solution resistance. In thisconfiguration, the solution resistance has three components; theresistance in one half-cell, the resistance in the second half-cell, andthe resistance of the nanochannel array. The resistances of thehalf-cells are negligibly small relative to the nanochannel arrayresistance. This may be verified by repeating the same experimentwithout the array. If necessary, the measured solution resistance fromthis experiment will be subtracted from the measured resistance when thenanochannel array is in place. The measured resistances may be comparedto calculated values obtained using eq. (3) below.

Characterizing the Electrolyte Volumetric Flow Rate and Linear Velocity

The flow rate and velocity of the reference electrolyte through thenanochannel arrays are determined as a function of applied pressure,nanochannel dimension, and nanochannel material. The applieddifferential pressure may be varied from 0 (diffusion) to 40 psi. Theflow rate may be measured by placing the junction in 50 ml of ultra-purewater and measuring its transient conductivity. The experimentallydetermined flow rates may be compared to the predicted flow rates,calculated using eq. (2) below. The linear velocity may be calculatedbased on the pore density and dimensions of the nanochannel array.

The effect of charged nanochannel walls on the transport of thereference electrolyte may also be studied. Chloride ions readily adsorbon gold surfaces, thus, the Au nanochannels may have a net negativecharge. In this situation, the nanochannels are cation permselective.However, if the nanochannels are pretreated with propanetbiol they havean inert, neutral coating, and chloride ions do not adsorb. To determinewhat effect charged walls may have on the transport, flow rates throughAu nanotubules with negatively charged and neutral walls may becompared. This comparison provides useful information on the transportmechanism of permselectivity with pressure driven flow throughnano-sized pores.

Measuring Back Diffusion as a Function of Linear Velocity of ElectrolyteSolution

Back diffusion as a function of velocity may be measured using acustom-designed pressure cell. Such a cell consists of feed and permeanthalf-cells. The feed half-cell will contain the 4.0M KCl. The permeanthalf-cell may be a dilute aqueous solution of a strongly absorbing dyemolecule (e.g., Rhodamine B). The back diffusion of the dye from thepermeant into the feed may be measured spectrophotometrically as afunction of applied pressure. The rate of back diffusion may be measuredby following the time-course of the dye appearance into the feed cell.The velocity of solution flow from the feed to the permeant may bemeasured by monitoring the conductivity of the permeant (due totransport of KCl from the feed) as a function of time. In this way, theminimum solution velocity (feed to permeant) required to eliminate backdiffusion of dye (permeant to feed) into the reference electrode chamberwill be determined.

Comparing Microfluidic Flowing Liquid Junctions to Standard ReferenceJunctions

A reference electrode having an microfluidic flowing liquid junction maybe compared to traditional reference junctions to determine its relativepotential and utility for reference electrodes. A reference electrodewith a microfluidic flowing liquid junction may be used for pHmeasurements, and its response may be compared with different referenceelectrodes. The overall stability and performance of a referenceelectrode is determined from (i) transient error, (ii) static errors,and (iii) stirring errors.

First, when an electrode is transferred from one solution to another, ifany of the first solution is retained within the liquid junction, themeasured potential should have a contribution from the originalsolution. This is referred to as a memory effect, or transient error.Notwithstanding any permanent contamination, the liquid junction can berenewed by the continuous outflow of reference electrolyte. Memoryeffects, transient errors, may be determined by measuring the timerequired to achieve a steady potential response. The response times ofthe microfluidic flowing liquid junction may be compared with typicalflowing, and diffusion-style reference junctions.

Second, stirring the sample solution can change the measured pH.Stirring can effect the potential measurement in at least two ways.Streaming potentials can build-up from convection of the samplesolution. This becomes evident when the ionic concentration of thereference electrolyte differs from the sample, especially in low ionicstrength sample solutions. In addition to streaming potentials, stirredsample solutions can increase contamination of the liquid junction.

The effect of pressure in the sample solution may be measured up to 40psig, in or alternatively to 50, 60, 70, 80, 90, and 100 psig. Thepotential dependence of the microfluidic flowing liquid junction ontemperature may then be determined.

Performance the Microfluidic Flowing Liquid Junction Over Extended Times

The microfluidic flowing liquid junction references may be placed instandard pH buffers for extended periods. The long-term testing may alsobe conducted in different media, including wastewater and soils. Themicrofluidic flowing liquid junction preferably retains its calibrationto within 0.5 mV over a 24-hour period in adverse test conditions.However, a microfluidic flowing liquid junction preferably sustains asingle calibration for even greater prolonged periods of time.

Certain Preferred Aspects of the Microfluidic Flowing Liquid Junction

Certain preferred aspects of the invention, many of which are furtherelucidated through the specific examples described herein and many ofwhich may be observed in the various embodiments of the invention, areas follows:

According to a preferred aspect of the invention, there is provided anarray of electrolyte flow channels in the junction member. As shownherein, an array, as opposed to a single channel lowers the overalljunction resistance while minimizing electrolyte consumption. Eachchannel can be very high in resistance while the sum resistance of allthe channels of an array will be several orders of magnitude lower inresistance. Without an array, or plurality, of channels the junctionstructure resistance would typically be too high for practical use.

According to another preferred aspect of the invention, there isprovided an array of nanochannels in the junction member. Channelshaving internal diameters in the lower end of the nanometer range (forexample, less than approximately 100 nm or approximately 70 nm) permitachieving the preferred elevated electrolyte solution linear velocityand the substantially constant liquid junction potential while consumingonly relative small amounts of electrolyte solution. The array ofnanochannels may also comprise approximately 10³, 10⁴, 10⁵, or 10⁷nanochannels. The volume rate of flow is preferably less thanapproximately 50 ml per month, and may also be less than approximately 2liters, 1 liter, 500 ml, 300 ml, 250 ml, 200 ml, 150 ml, or 100 ml permonth, and more preferably less than approximately 50 ml per year, andmay also be less than approximately 2 liters, 1 liter, 500 ml, 300 ml,250 ml, 200 ml, 150 ml, or 100 ml per year. Also, the linear flow rate,dependent on the radii or effective width of the nanochannels employed,is preferably greater than approximately 0.1 cm per second, and,depending on the radii or effective width of the nanochannels, may begreater than 0.0001, 0.001, and 0.01 cm per second.

According to another preferred aspect of the invention, there areprovided anisotropic channels in the junction member. Such channels aresubstantially straight and parallel to one another, and with uniformpore size provide substantially uniform distribution of flow throughsubstantially all channels. Such channels may preferably be preparedaccording to the “template synthesis” method described herein and inHulteen, J. C.; Martin, C. R. J. Mater. Chem. 1997, 7, 1075.

According to another preferred aspect of the invention, there areprovided channels having internal diameters of less than approximately100 nanometers or approximately 70, 50, 40, or 30 nanometers. Channelsof these dimensions enable obtaining the preferred combination ofelectrolyte flow velocity, minimum electrolyte consumption, and arrayresistance.

According to another preferred aspect of the invention, there areprovided channel lengths greater than approximately 100 nanometers andless than approximately ten microns. Channels at this dimension range(or smaller) also enable obtaining the preferred combination ofelectrolyte flow velocity, minimum electrolyte consumption, and arrayresistance.

According to another preferred aspect of the invention, there isprovided a number of channels less than approximately one-hundredmillion (10⁸). Arrays with fewer than this number of channels enable adesirable combination of electrolyte flow velocity, minimum electrolyteconsumption, and array resistance.

According to another preferred aspect of the invention, there isprovided a driven flow with high electrolyte velocity greater thanapproximately 0.1 cm/sec. Flow velocity is a factor in determining thepreferred flow rate of electrolyte through the junction. Velocities atthis rate or higher are preferred to substantially prevent penetrationof each nanochannel by sample solution. Contrary to the commonly usedtechnique of restricting the flow rate (volume and velocity) to minimizeelectrolyte consumption, preferred embodiments of the present inventionincrease velocity in a nanochannel structure while using relativelysmall amounts of electrolyte.

According to another preferred aspect of the invention, there isprovided reduced volumetric consumption of electrolyte. Flowing junctiondesigns traditionally use relatively large quantities of electrolyte andneed frequent replenishment and associated maintenance. The designparameters of this reference junction provide superior electrolytevelocity with vastly reduced flow volume of reference electrolyte. Forexample, as little as one ml per year, is consumed under standardoperating conditions. Preferred embodiments of the invention providejunction designs that can function for prolonged periods of time withoutthe need for electrolyte replenishment and minimal contamination of thesample. Certain embodiments of this invention can, for example, operateup to 90 years with only 100 ml of electrolyte.

According to another preferred aspect of the invention, there isprovided a low junction resistance: having a resistance across junctionof less than approximately 100, 10, 5, 2, or 1 MO. The microfluidicflowing liquid junction electrode is shown to achieve high velocity andlow volume electrolyte use without sacrificing junction resistance.

According to another preferred aspect of the invention, there isprovided a junction that maintains a stable junction potential over awide range of junction flow rates and flow velocities. Unexpectedly, thenovel junction does not generate a different internal potential atdifferent flow rates or flow velocities. Such a result is contrary toprior teachings. This unexpected property alleviates the need formaintaining a constant flow rate or velocity. Importantly, in apressurized driven device, the flow rate will decrease as theelectrolyte is depleted. Contrary to teachings and expectations, thejunction potential has remained constant over a wide range of pressuresand flow rates. For this reason, the electrolyte solution may be held ina flexible, pressurized collapsible bladder.

According to another preferred aspect of the invention, there isprovided a reference electrode that may readily be integrated with anyknown variety of sensing electrode to make a combination sensor.

According to another preferred aspect of the invention, there isprovided a combination sensor that may employ a battery poweredcompensating circuit. The circuit is designed to substantially null theinherent offset in the sensor and maximize the slope of the sensorresponse between two standards.

According to another aspect of the invention, it becomes unnecessary tomaintain a constant pressure across the junction. The pressure may varyfrom high as 40 psig to as low as 10 psig and maintain substantially noerror.

According to another aspect of the invention, various mechanisms may beused to maintain desired flow of electrolyte solution through thejunction member. For example, a pneumatic driven flow or pump, such as acollapsible bladder, or electro-osmotic flow or pump orelectro-hydrodynamic flow or pump may also be used. Also, for example, amechanical pump or flow such as a piston-driven pump or flow may beused, or a spring-driven piston pump or flow, or a piezo-electric flowor pump or an electro-hydrodynamic flow or pumps may be used. Such pumpsare well known in the art and are described by Marc Madou in“Fundamentals of Microfabrication”, 1997, CRC Press, pg. 431-433.

According to another aspect of the invention, the inner walls of themicrofluidic flowing liquid junction may be physically or chemicallymodified to alter the flow of electrolyte. For example, the inside wallsof the structure may be coated with substances to enhance flow ofelectrolyte. Also, for example, the inside walls of the structure may beplated with metals such as gold, platinum, or palladium or anothernon-reactive metals or alloys or combinations thereof to increasefunctionality and to effect additional functionality or performancegains. Also, for example, the walls may be made hydrophilic by theaddition of, for example, a hydrophilic polymer such aspolyvinylpyrolidone (PVP). Alternatively, the walls may be madehydrophobic by the addition of a suitable hydrophobic material. Also asurfactant may be added to the electrolyte to alter the flow ofelectrolyte through the nanochannels, especially of the smallernanometer structures.

In one embodiment, one or more surfaces of the liquid junction memberhave a coating comprising a biocide or growth inhibitor. The biocide maybe, for example, an anti-bacterial or microbial agent. In oneembodiment, the surfaces of the liquid junction are coated with butylparaben. In some embodiments, the nanochannels are coated with thebiocide or growth inhibitor. In other embodiments, only the surface ofthe liquid junction member in fluid communication with a sample solutionis coated with the biocide or growth inhibitor. In some embodiments, thegrowth inhibitor coating includes a metal, e.g., copper.

In one embodiment of a combination electrode according to the invention,the electrolyte solution includes a biocide or growth inhibitor.

EXAMPLES

The microfluidic flowing liquid junction and associated electrodes ofthe invention are described in terms of several embodiments. Theseembodiments are preferred and comprise microfluidic liquid junctionstructures with nanochannel arrays fabricated from a variety of specificmaterials. Each preferred structure may be fabricated, according totechniques known in the art, into a thin wafer or membrane, preferablyround, that can be mounted onto the end of a reference electrodestructure. Each junction structure permits electrolyte flow through ananochannel array from the internal electrolyte reservoir of thereference electrode into the sample solution.

FIG. 1 depicts a representative diagram of an exemplary potentiometricreference electrode 100 with a microfluidic liquid junction structure102 according to the present invention. The reference electrode 100comprises of a chamber 114 that has a seal 120 on one end and acompression means 122 for sealing the junction structure 102 in place atthe other end. The reference electrode 100 includes an electrochemicalhalf-cell 108, an electrical conductor 118, and a reservoir of referenceelectrolyte solution 110. The electrolyte reservoir 110 is contained ina flexible elastomer reservoir bag 112 that separates the electrolytereservoir 110 from the compressed gas 116 that fills the rest of thechamber 114. The compressed gas 116 compresses the reservoir bag and theelectrolyte therein and by this means drives the electrolyte 110 throughthe aperture 130 and into and through the microfluidic flowing liquidjunction member and out the orifice 132 and into the sample stream (notshown). In this manner the reference electrode 100 shown in FIG. 1utilizes the microfluidic flowing liquid junction structure 102 to makeelectrolytic contact between the internal electrochemical half-cell 108and the sample solution (not shown).

FIG. 2 depicts a cross-sectional view of the compression means 122 thatseals the microfluidic liquid junction 102 structure onto the end of thereference electrode chamber 114, which chamber is shown in FIGS. 1 and3. The threaded retainer ring 124 compresses the microfluidic liquidjunction structure 102 against the o-ring 126 and the gasket 128 andthereby seals it into the end of the reference electrode chamber 114.The pressurized electrolyte 110 is pushed through aperture 130 and intoand through the microfluidic liquid junction structure 102 then out ofthe orifice 132 and into the sample stream (not shown).

FIG. 3 depicts an exploded diametric view of the compression means 122.In this example of the embodiment the microfluidic liquid junctionstructure 102 is a round planar element.

FIG. 4 depicts a schematic cross-section of the microfluidic liquidjunction structure 102 in its most elementary form, a single planarelement. As shown, the microfluidic liquid junction structure 102 isfabricated in a planar substrate 104. Suitable substrate materials aregenerally selected based upon cost, ease of fabrication, dimensionalstability, mechanical strength, and compatibility with the conditionspresent in the particular environment that the structure will beoperating in. Such conditions can include extremes of pH, temperature,ionic concentration, and presence of organic solvents. Useful substratematerials include glass, quartz, ceramic, silicon, polysilicon, as wellas polymeric materials such as polycarbonate, polyamide, and otherplastics typically utilized in microfabrication techniques.

The junction structure 102 includes a multitude of nanochannels 106fabricated through the substrate 104 and generally perpendicular to theplanar axis of the substrate 104. These nanochannels typically have verysmall cross-section dimensions, preferably in the range from about 1 nmto 500 nm. It is this small, nanometer scale, cross-sectional width ofthe nanochannels 106 that gives them their name. For the particularpreferred embodiments, nanochannels 106 that have cross section widthsof about 10 nm to about 500 nm, and more preferable between about 200 nmand about 300 nm, and lengths of about 0.5 μm to about 200, about 300,and as great as 500 μm will work most effectively, although deviationsfrom these dimensions are within the scope of the invention.

The multitude of nanochannels 106 present in the microfluidic liquidjunction structure 102 are referred to collectively as the junctionarray 105. The size of the array 105 is characterized by the number ofnanochannels 106 present in the structure 102. The number ofnanochannels can vary from 10 to 100,000,000. More generally, the numberof nanochannels can be selected from any whole number less than 10⁹, andcan be as low as desired, provided that the effects of the plugging ofone or more channel will not substantially and adversely effect theperformance of the microfluidic flowing liquid junction. For theseparticular embodiments discussed below, a junction array 105 with anumber of nanochannels 106 between 10 and 100,000 will work mosteffectively, though deviations from these numbers are within the scopeof the invention, as noted above.

The array 105 of nanochannels 106 is a common element in all depictedembodiments of the invention and the operational characteristics of aparticular array may be predicted by specifying only three parameters ofthe array 105: (1) the cross-sectional width of the nanochannel 106, (2)the length of the nanochannel 106, (3) and the number of nanochannels106 present in the array 105. Table 1 provides ranges expressed inapproximate values preferred ranges, for these three parameters.

TABLE 1 Representative Approximate Ranges for Nanochannel ArrayParameters Individual Nanochannel 106 Cross-sectional Width Range: 1 nmto 900 nm Preferable ranges: 10 nm to 500 nm; 40 nm to 100 nm; 70 nmIndividual Nanochannel 106 Length Range: 0.5 μm to 900 μm Preferableranges: 5 μm to 500 μm; 5 to 20 μm (polymer junction); 100 to 500 μm(glass junction) Number of Individual Nanochannels 106 in Array 105Range: 10 to 100,000,000 Preferable ranges: 100 to 1,000,000; 250 to5,000; 500 to 1,000

Manufacturing of the array 105 of nanochannels 106 and other micro- andnano-scale elements and features into the substrate 104 may be carriedout by any number of microfabrication techniques that are well known inthe art. For example, photolithographic techniques may be employed infabricating glass, quartz, ceramic, silicone, polysilicon, or “plastic”polymeric substrates with methods well known in the semiconductormanufacturing industries. Photolithographic masking, plasma or wetetching and other semiconductor processing technologies definemicroscale and nanoscale elements in and through the substrate and onthe substrate's surfaces. Alternatively, micromachining methods, such aslaser drilling, micromilling, microgrinding, and the like may beemployed. Similarly, for polymeric substrates, such as plastics, wellknown manufacturing techniques may be used. These techniques includecharged particle bombardment and subsequent wet etching of nanoscale andmicroscale channels through polymeric substrates. Additional techniquesinclude injection molding techniques or stamp molding methods wherelarge numbers of substrates may be produced or polymer microcastingtechniques where substrates with microscale and nanoscale features arepolymerized within a microfabricated mold.

The microfluidic liquid junction structure 102 may be one planar elementor a laminate of multiple planar elements. The planar elements may beattached to each other by a variety of means, including thermal bonding,adhesives, or in the case of glass and some plastics, direct fusion byheating to the melting point. The additional planar elements mayconstitute all or part of the array structure, or a rigid supportelement for the array structure element, or such additional layers mayinclude other microfluidic components that integrate into themicrofluidic liquid junction structure to provide increased performanceor additional features. Such additional elements might include microscale sensors and sensing elements that measure parameters such aspressure, flow rate, temperature, electrical resistance,oxidation-reduction (redox) potential, conductivity, and pH. Thesesensors could be utilized to provide feedback concerning the performanceof the potentiometric reference electrode 100 and the microfluidicliquid junction structure 102. Such feedback could be utilized bymonitor instrumentation for preventative diagnostics of the referenceelectrode's 100 performance. Such diagnostics might include determiningthe need for recalibration and predicting and signaling the need forservice well before the reference electrode 100 fails in an on-lineindustrial application.

FIG. 5 depicts an illustrative diametric cross-sectional view of thearray 105 of a microfluidic liquid junction structure 102 that isfabricated as a single planar polymer element. The planar element has aspecific density (channels/cm²) of etched anisotropic nanochannels 105.In this embodiment of the present invention specific channel densitiesof generally anisotropic nanochannels were fabricated in 10 μm thicksheets of polycarbonate.

The first step in the fabrication process was to expose 10 μm thicksheets of polycarbonate to charged particles, mostly heavy ions, in anuclear reactor. These charged particles perforate the polymer sheetsand leave “sensitized tracks” in the polymer which are substantiallyanisotropic. By controlling the duration of the exposure to the chargedparticles, the density of tracks per square centimeter can be controlledto a high degree of reproducibility. These tracks were generally uniformin width and straight, or anisotropic, and transverse the polymer sheetin a direction generally 90° to the planar axis of the polymer sheet.The tracks in the polymer substrate were preferably etched. This enabledthe nanochannels to be selectively etched to channel diameters of 10 nmand larger. The etching process consisted of immersing the polycarbonatesheets in a strong alkaline solution of 6 M NaOH with 10% methanol byvolume. To obtain sheets with different channel cross-sectional widthsthe etch times were varied from 1 hour to 1 minute.

In a final step in the fabrication process, the polycarbonate sheetswere coated by dipping them into a bath of 0.5% polyvinylpyrrolidone(PVP) solution. The PVP coating is hydrophilic and it enhances the“wetability” of the polycarbonate sheets and nanochannels.

By design of the nanochannel array 105 density, a flowing microfluidicliquid junction structure 102 was fabricated such that it had thedesired number of flowing nanochannels 106 exposed to aperture 130 onone side of the microfluidic flowing liquid junction structure 102, andthe corresponding number of flowing nanochannels 106 exposed to orifice132 on the other side of the microfluidic flowing liquid junctionstructure 102.

FIG. 6 depicts steps in the fabrication of a flowing microfluidic liquidjunction structure 164 from multiple polymer, polyamide planar elements160 and 162 that may be thermal bonded together into one structure. Thetwo polyamide planar elements can be bonded together using varioustechniques including those of U.S. Pat. No. 5,525,405 (Coverdall et al.)and U.S. Pat. No. 5,932,799 (Moles).

Anisotropic nanochannels may be fabricated into the polymer polyamideplanar element 162 in the same manner as with the polycarbonate planarelement previously described above. The polyamide planar element 162 isfabricated to have a specific density of anisotropic nanochannels. Thethicker planar element 160 may also be fabricated from polyamide into ahoneycomb structure containing relatively larger, micron scale,microchannels 166 with cross-sectional widths on the order of 5 μm to 25μm in this embodiment. This honeycomb structure of the polyamide planarelement 160 adds mechanical strength to the finished microfluidicflowing liquid junction structure 164 without unduly impeding the forceof the pressurized electrolyte through the nanochannels 106. Thepolyamide planar element can be fabricated into a micron scale honeycombstructure by well known photolithography and wet etch techniques such asthose reported in U.S. Pat. No. 5,807,406 (Brauker et al.). Due to therelatively regular geometry of the resultant structure the resultantnumber of active flowing nanochannels 106 may be calculated as thenumber of nanochannels 106 that face a microchannel 166.

FIG. 7 depicts a schematic cross-section of the resultant flowingmicrofluidic liquid junction structure 164 that is made from twopolyamide planar elements, 160 and 162, that have been thermal bondedinto one structural element. On the average, each of the microchannels166 is connected to a small array 168 with approximately the same numberof nanochannels 106. In operation, pressurized electrolyte 110 entersinto an array 169 of microchannels 166 and exits through the manyconnected nanochannels 106. In this way pressurized electrolyte 110flows through an array 169 of many smaller arrays 168 of nanochannels106. This is a useful technique to build up relatively thick planarstructures that do not unduly impede the pressurized flow of electrolyteinto the nanochannels 106.

In an alternative embodiment of the invention, additional planarelements of the same or different materials can be bonded on top of themicrofluidic flowing liquid junction structure 164 for additionalfeatures and performance such as additional strengthening structures,valves, or sensing elements. Such fabrication techniques are well knownand are reviewed by Marc Madou in “Fundamentals of Microfabrication”,1997, CRC Press. Referring to FIG. 1, it can be seen that thismicrofluidic flowing liquid junction structure 164 can be sealed intothe exemplary reference electrode 100 by compression means 122. Byproper selection of the nanochannel density of planar element 162 andthe microchannel density of planar element 160, a microfluidic flowingliquid junction structure 164 can be fabricated such that it has anmicrochannel array 169 with the desire number of flowing microchannels166 exposed to aperture 130 and the corresponding, connectingnanochannel arrays 168 with the desired number of flowing nanochannels106 exposed to orifice 132.

FIG. 8 depicts a flowing microfluidic liquid junction structure 170 thatcan be fabricated from a single planar element of silicon by means ofanisotropic plasma etching techniques such as those reported in U.S.Pat. No. 5,501,893 (Laermer et al.). The microfluidic flowing liquidjunction structure 170 has micron scale microchannels 176 etched in oneside of the structure and connecting nanochannels 106 etched through theother side of the structure.

FIG. 9 depicts a schematic cross-section of the silicon microfluidicflowing liquid junction structure 170. The flowing microfluidic liquidjunction structure 170 has an array 179 of microchannels 176 on one sideof the structure that connect to an array 178 of nanochannels 106 on theother side of the structure. In this exemplary embodiment the ratio ofnanochannels 106 that connect to each microchannel 176 is one to one.Anisotropic plasma etching can fabricate high aspect ratio features insilicon with ratios as high as 20:1. Accordingly, in this embodiment themicrochannels 176 can be etched 5 μm wide and 75 μm deep from one sideof the structure and the nanochannels 106 can be etched 100 nm wide andup to 2 μm deep from the other side of the microfluidic flowing liquidjunction structure 170.

Again, the nanochannel array 178 density and the microchannel array 179density may be selected such that, a microfluidic flowing liquidjunction structure 170 may be fabricated such that it has a microchannelarray 179 with the desired number of flowing microchannels 176 exposedto aperture 130 and the corresponding, connected nanochannel array 178with the desired number of flowing nanochannels 106 exposed to orifice132. Such a junction may be designed to exhibit certain characteristicssuitable to any use.

FIG. 10 depicts steps in the fabrication of a flowing microfluidicliquid junction structure 184 from multiple glass planar elements 180and 182 that can be thermal bonded or fused together into one planarstructure. Planar element 180 is a solid element of glass, such asCorning 0120 glass or Corning 8161 glass, that has a single, relativelylarge channel 186 in the center. The channel 186 can be several micronsto 1 mm in diameter and it can be fabricated with well knownmicrofabrication techniques. The planar element 182 is a glass disk thathas at its center an array 188 region of nanochannels. This planarelement 182 can be made by methods reported in U.S. Pat. No. 5,264,722(Tonucci et al.) for the manufacture of nanochannel glass rod.Nanochannel glass rod made by this method is essentially a fused bundleof anisotropic glass tubes that each have a cross-sectional width ofjust a few nanometer to several hundred nanometers. Furthermore, thenanochannel glass rod, which may also be preferably fabricated fromCorning 0120 glass or Corning 8161 glass or other suitable glass, can beclad in non-porous glass so that just the core of the resultant glassrod is made up of an array 188 of nanochannels. A single planar crosssection 182 of this rod can be cut to use as the nanochannel array 188of the present embodiment of the present invention. The width of thenanochannels and the number of nanochannels can be precisely controlledby the fabrication methods reported in U.S. Pat. No. 5,264,722 (Tonucciet al.). The length of the nanochannels in the array 188 length can becontrolled by cutting a cross-section of the rod and grinding it to thedesired thickness.

Where both glass planar layers, 180 and 182, are made from the sameglass, they may be fused together into a single flowing microfluidicliquid junction structure 184 by scientific glass blowing techniqueswell known to those skilled in the art. Alternatively, they may bethermally bonded by the techniques disclosed and reviewed by Marc Madouin “Fundamentals of Microfabrication”, 1997, CRC Press.

FIG. 11 depicts a schematic cross-section view of the glass flowingmicrofluidic liquid junction structure 184. The flowing microfluidicliquid junction structure 184 has a single large channel 186 on one sideand a corresponding, connecting array 188 of nanochannels 106 on theother side. The planar element 180 lends mechanical strength to theplanar element 181 in this embodiment of the present invention once theyare bonded or fused together into the single planar flowing microfluidicliquid junction structure 184.

As before, by design of the nanochannel array 188 density and the sizeof the single channel 186, a microfluidic flowing liquid junctionstructure 184 may be fabricated such that the single channel 186 alignswith the aperture 130 and the corresponding, connected nanochannel array188 with the desired number of flowing nanochannels 106 are exposed toorifice 132.

TABLE 2 Representative Operational Specifications of FlowingMicrofluidic Liquid Junctions Electrolyte Linear Velocity Range: >1μm/sec Preferable Range: greater than approximately 0.1 cm/sec MostPreferable range: greater than approximately 1.0 cm/sec ElectrolyteVolumetric Flow Rate Range: less than approximately 1500 μl/day (about500 ml/yr) less than approximately 60 μl/hr Preferable range: less thanapproximately 150 μl/day (about 50 ml/yr) less than approximately 6μl/hr Electrical Resistance Range: less than approximately 100 MOPreferable range: less than approximately 1 MOExperimental and Theoretical Data Based Upon Experimental Data

Tables 3 and 4, presented below, detail certain actual physical andpotentiometric characteristics, and estimated physical andpotentiometric characteristics based upon and extrapolated from theactual physical and potentiometric characteristics, of microfluidicflowing liquid junctions of the invention having various structuralcharacteristics.

Table 3 provides experimental test data for reference electrodes havingexemplary flowing microfluidic liquid junction structures within thescope of the present invention. Transient, static and stirring errorswere determined in standard pH 7 buffer solutions after consecutiveexposures to the test solution. The potential was measured against apH-sensitive glass electrode. The exemplary microfluidic flowing liquidjunction structure material was obtained from Osmonics LaboratoryProducts (Westborough, Mass., USA). The Osmonics part number for the 30nm nanochannel microfluidic flowing liquid junction material, P/NKN3CP01300; the Osmonics part number for the 50 nm nanochannelmicrofluidic flowing liquid junction material, P/N KNSCP01300. The BJCModel 9015, P/N C2451C-12A, with typical commercially availablediffusion junction reference electrode was obtained from Broadley-JamesCorp. (Irvine, Calif., USA).

TABLE 3 Microfluidic Flowing Liquid Junction Reference Electrode TestsComparative Reference Electrode Tests: Microfluidic Flowing LiquidJunctions vs. Conventional Non-Flowing Diffusion Junction TransientStatic Stirring Test Reference Channel Channel Array Flow Rate VelocityError Error Error Solution Electrode Width Length Size Pressure (μl/hr)(cm/s) (mV) (mV) (mV) pH 4 MLJ Design 50 nm 6 μm 1,000,000 40 psig 19106.4 0.2 <0.1 −0.2 0.1 <0.1 <0.1 Buffer MLJ Design 30 nm 6 μm 1,000,00040 psig 70 0.7 0.3 <0.1 <0.1 <0.1 <0.1 <0.1 MLJ Design 50 nm 6 μm1,000,000 10 psig — — 0.1 <0.1 0.1 <0.1 <0.1 <0.1 MLJ Design 30 nm 6 μm1,000,000 10 psig — — 0.2 <0.1 0.1 <0.1 <0.1 <0.1 MLJ Design 70 nm 10μm  1000 40 psig 1.8 13 0.1 0.2 0.1 <0.1 0.3 0.4 BJC Model gelelectrolyte with non-flowing N/A N/A N/A 1.5 0.6 −2.6 −2.9 1.3 0.9 9015diffusion junction 0.1 M MLJ Design 50 nm 6 μm 1,000,000 40 psig 741 2.5<0.1 <0.1 <0.1 <0.1 0.1 0.2 HCl MLJ Design 30 nm 6 μm 1,000,000 40 psig193 1.8 <0.1 <0.1 <0.1 <0.1 0.2 0.3 MLJ Design 50 nm 6 μm 1,000,000 10psig 114 0.4 <0.1 <0.1 <0.1 <0.1 <0.1 0.1 MLJ Design 30 nm 6 μm1,000,000 10 psig 20.3 0.2 <0.1 <0.1 <0.1 <0.1 0.1 0.1 BJC Model gelelectrolyte with non-flowing N/A N/A N/A 5.2 −4.1 −2.3 2.2 0.6 1.7 9015diffusion junction 0.1 mM MLJ Design 50 nm 6 μm 1,000,000 40 psig 5832.0 <0.1 <0.1 <0.1 0.2 <0.1 0.2 HCl MLJ Design 30 nm 6 μm 1,000,000 40psig 20 0.19 <0.1 0.2 <0.1 0.3 0.9 1.2 MLJ Design 50 nm 6 μm 1,000,00010 psig 95 0.32 0.1 0.3 <0.1 <0.1 0.1 0.4 MLJ Design 30 nm 6 μm1,000,000 10 psig 47 0.44 0.1 0.2 <0.1 <0.1 0.1 0.2 BJC Model gelelectrolyte with non-flowing N/A N/A N/A −3.2 22.5 −2.7 1.4 10.5 12 9015diffusion junction 1 M Tris MLJ Design 50 nm 6 μm 1,000,000 10 psig 3741.3 −0.2 −0.2 1.4 −0.9 −0.2 0.1 Buffer MLJ Design 30 nm 6 μm 1,000,00010 psig 39 0.4 0.9 1.1 −0.2 1.8 0.3 0.2 BJC Model gel electrolyte withnon-flowing N/A N/A N/A 24 26 −4.5 −1.9 1.6 0.8 9015 diffusion junction

Table 4 provides the estimated resistance, velocity and lifetime ofexemplary microfluidic flowing liquid junction structures within thescope of the present invention. Table 4 was generated based on theactual, experimentally determined data derived from a microfluidicflowing liquid junction structure with 1,000 10-μm long, nanochannelshaving widths of approximately 70 nm (see bottom row), speciallyprepared as described herein.

TABLE 4 ELECTRODE CHARACTERISTICS/THEORETICAL LIFETIME ESTIMATES FORVARIOUS JUNCTION DESIGNS Electrode Lifetime Estimates for Selected MLJDesigns (Derived from Junction Linear Flow and Resistance Data)Estimated Est. Lifetime Total Est. Linear (yrs) Channel Dimensions ArraySize Resistance Velocity for 50 ml ID (nm) Length (μm) (# of Channels)(k?) (cm/s) (40 psig) of Electrolyte 10 6 1,000 1,910.83 0.44 4568.11 106 10,000 191.08 0.44 456.81 10 6 100,000 19.11 0.44 45.68 10 6 1,000,0001.91 0.44 45.7 30 6 1,000 212.31 3.98 56.40 30 6 10,000 21.23 3.98 5.6430 6 100,000 2.12 3.98 0.56 30 6 1,000,000 0.21 3.98 0.06 50 6 1,00076.43 11.05 7.31 50 6 10,000 7.64 11.05 0.73 50 6 100,000 0.76 11.050.07 50 6 1,000,000 0.08 11.05 0.01 70 10 1,000 64.99 13.00 3.17Filtration-Enhanced Reference Electrode

One aspect of the junction disclosed herein concerns a referenceelectrode having an internal, electrolyte filtration mechanismconfigured to work in conjunction with a microfluidic flowing liquidjunction. The resulting structure is designed to, optionally,substantially enhance the longevity and stability of the microfluidicflowing liquid junction, yielding an enhanced junction assembly. FIG. 14shows a schematic exploded perspective view of such an enhancedmicrofluidic flowing liquid junction 204 configured to work incombination with one or more filtration members 202, 202′, and 202″. Themicrofluidic flowing liquid junction 204 may be, for example, anyembodiment of a microfluidic flowing liquid junction as has beendescribed above. For convenience, the structure resulting from combiningthe microfluidic flowing liquid junction with one or more filtrationmembers 202, 202′, 202″, etc., is referred to here as afiltration-enhanced microfluidic flowing liquid junction 200.

The inner diameter of each nanochannel in the liquid junction structure204 is preferably within the range of 50 nm to 500 nm, including 100,200, 300 and 400 nm. The length of the nanochannels in the junction ispreferably substantially uniform and within the range of 5 μm to 500 μm,including 10, 20, 50, 100, 200, 300 and 400 μm. The number ofnanochannels in the liquid junction structure is preferably from 10 to10,000,000, including 100, 1000, 10⁵, and 10⁶. In some embodiments ofthe invention, the nanochannels of the liquid junction structure arepreferably substantially clustered inside a 1 mm² area on the arraysubstrate.

The junction assembly 200 allows for a sustained and prolonged flow ofelectrolyte through the microfluidic flowing liquid junction's array ofnanochannels by passing the electrolyte from the electrolyte reservoir110 (see FIG. 1) through one or more high flux, high capacity filters202, 202′, 202″. The high flux, high capacity filters 202, 202′, and202″ each contains pores having inside diameters that are about the sameor smaller in size than the inside diameters of the nanochannels of theliquid junction structure 204. Such filters may be isotropic oranisotropic and may be manufactured out of any of a variety ofmaterials, including but not limited to glass, polycarbonate, siliconand/or ceramic. The pores of the filtration members 202, 202′, and 202″are preferably configured to substantially remove, from the electrolytesolution that passes through the filtration members 202, 202′, and 202″,particles that are large enough to clog nanochannels of the nanochannelarray of the liquid junction structure 204. In this manner, the filters202, 202′, and 202″ forestall clogging of the nanochannels of thenanochannel array of the liquid junction structure 204.

As will be detailed below, the filters 202, 202′ and 202″ contain poresor pore networks in a quantity such that each of these filtrationmembers has the capacity to allow a flow rate of electrolyte thatsubstantially exceeds the flow rate capacity of the liquid junctionstructure 204. It is preferred that the microfluidic flowing liquidjunction 204, rather than the filters 202, 202′, or 202″, singly or incombination, be the component that determines or limits the linear flowrate of the electrolyte through the junction assembly 200. As alreadyexplained, one aspect of the invention is directed to ensuring that theelectrolyte flows at a linear velocity sufficient to substantiallyeliminate back diffusion of the sample solution into the liquid junctionstructure 204.

In one embodiment of the enhanced junction assembly 200, the ratio ofelectrolyte flux capacity through each of the filters 202, 202′, and202″ to the electrolyte flux capacity through the nanochannel array isconfigured to be sufficiently high. This ensures that as a percentage ofthe pores of the filter 202 (or 202′ or 202″) trap particulates andbecome clogged over time, there remains sufficient capacity in thefilter 202 to permit the passing of sufficient filtered electrolyte tothe nanochannel array so that the desired electrolyte velocity throughthe nanochannel array is achieved and maintained. Furthermore, thefiltering capacity of a filter 202, 202′, or 202″ may be configured tobe sufficiently greater than that of the liquid junction structure 204so that electrolyte flows through the liquid junction structure 204 at asubstantially constant velocity for days, weeks, months, years, or evendecades on a small amount of electrolyte.

Another aspect of the enhanced junction assembly concerns a referenceelectrode that uses an internal filtration system working in conjunctionwith a microfluidic flowing liquid junction to produce sustained andprolonged flow of electrolyte through a nanochannel array of themicrofluidic flowing liquid junction 204. The flow of the electrolytethrough the nanochannel array of the liquid junction structure 204 hassufficient linear velocity such that sample solution is substantiallyprevented from back diffusing into the nanochannels of the nanochannelarray. At least one high flux, high capacity filter 202 is positionedbetween the electrolyte reservoir 110 and the microfluidic flowingliquid junction 204.

The filtration members 202, 202′, and 202″ are selected to substantiallyprevent or minimize clogging of the nanochannel array by allowingpassage only of particles that are small enough to pass cleanly throughthe nanochannels of the liquid junction structure 204. In addition, thefilter 202, for example, is configured to have substantially more poresthan the liquid junction structure 204; in this manner, as a percentageof the pores of filter 202 become clogged over time, the filter 202still allows ample flow of electrolyte to the liquid junction structure204. In this embodiment, preferably each nanochannel of the liquidjunction structure 204 receives enough electrolyte such that the linearvelocity of electrolyte is sufficient to substantially prevent backdiffusion of the sample solution into the nanochannels of the liquidjunction structure 204.

Another feature of the enhanced junction assembly consists of a methodfor producing a sustained and prolonged flow of electrolyte throughnanochannels with inside diameters of less than 500 nanometers using ahigh flux, high capacity filter to prevent clogging of a microfluidicflowing liquid junction structure with particulate matter that may bepresent in a reference electrolyte solution.

Another aspect of the enhanced junction concerns a method of filteringthe electrolyte 110 prior to passing it through the nanochannel array ofthe liquid junction structure 204. The method comprises providing atleast one filter, for example 202, having a relatively high flux suchthat the linear velocity of electrolyte through the nanochannel array ofthe liquid junction structure is substantially unchanged.

Another feature of the enhanced junction provides a method of filteringthe electrolyte 110 prior to passing the electrolyte 110 through theliquid junction structure 204 with a filter 202 having sufficientcapacity such that even after a substantial percentage of the pores ofthe filter 202 have clogged with particulate material, the filter 202allows passage of a sufficient amount of electrolyte 110 to the liquidjunction structure 204 in order to ensure that the linear velocity ofthe electrolyte 110 through each nanochannel is sufficient to preventback diffusion of the sample solution into the nanochannels.

Another aspect of the invention concerns a pressurized flow ofelectrolyte 110 through a nanofiltration membrane (e.g., filter 202) anda microfluidic flowing liquid junction (e.g., liquid junction structure204), wherein the nanofiltration membrane is capable of allowing anelectrolyte flux that is much greater than the electrolyte flux of whichthe microfluidic flowing liquid junction is capable. This ensures thatthe nanochannel array of the microfluidic flowing liquid junction is theback-pressure determining structure. This allows positioning the filter202, for example, adjacent to the liquid junction structure and allowsthe electrolyte 110 to flow through the filter 202 into a discrete layerof electrolyte and then through the liquid junction structure 204. Inthis way, the filter 202 can be placed spaced either immediatelyadjacent to or substantially apart from the liquid junction structure204 without any portion of the filter 202 blocking electrolyte flow intoany of the individual nanochannels of the microfluidic flowing liquidjunction 204. The electrolyte 110 flows through the pores of the filter202 and feeds all the nanochannels in the liquid junction structure 204in sufficient volume such that electrolyte flow through the individualnanochannels of the microfluidic flowing liquid junction 204 hassubstantially the same flux and linear velocity.

FIG. 15 is a schematic cross-sectional view of one embodiment of amicrofluidic flowing liquid junction 204 and multiple filtration members202 and 202′ configured to form an enhanced microfluidic flowing liquidjunction 200. FIG. 15 shows en embodiment of the assembly 200 where twofiltration members, namely the filters 202 and 202′, have been “stacked”on the microfluidic flowing liquid junction 204. The filter 202′ isplaced immediately adjacent to the microfluidic flowing liquid junction204, and the filter 202 is placed immediately adjacent to the filter202′. In this configuration, the filter 202′ has at least one pore whichhas a diameter that is about the same size or smaller than the diameterof the nanochannels 106 of the microfluidic flowing liquid junction 204.Additionally, the filter 200 may have pores with diameters that arelarger, the same, or smaller than the diameters of the pores of thefilter 200′.

FIG. 16 shows a diagrammatic perspective view of an enhanced junction210 according to one embodiment of the invention. The enhanced junction210 comprises at least one filter 202 that is optionally bonded to asupport member 203. As shown, in some embodiments, the enhanced junctionmay have several filtration members 202, 202′, and 202″ withcorresponding support members 203, 203′, and 203″. The support members203, 203′, and 203″ may also functions as spacers between the filtrationmembers 202, 202′, and 202″ and, in the case shown, between filtrationmember 202″ and the support 180 for the slice of glass 182 having thenanochannel array 188 (See FIG. 10 and accompanying description). Insome embodiments, the spacer member 203 provides a space 203A forreceiving a layer of electrolyte.

The filtration member 202 may have any shape and may be made of anysuitable permeable or semi-permeable material, which may be partly orwholly hydrophobic, partly or wholly hydrophilic, ion selective (eithercation or anion selective), isotropic or anisotropic. As noted above,the filtration member 202 may be made of, for example, polycarbonate,glass, polyester, PET, cellulose acetate, cellulose ester, mixedcellulose esters (nitrate and acetate), polyether sulfone (PES),polyvinylidene fluoride (PVDF), polytetrafluoroethylene (PTFE),polypropylene, nylon, polyvinylchloride (PVC), polyamide, or anysuitable porous material.

The support member 203 may be made of any polymer material, or anynon-water-soluble, inert material. The support member 203 may becomprised of, for example, polycarbonate, glass, polyester, PET,cellulose acetate, cellulose ester, mixed cellulose esters (nitrate andacetate), polyether sulfone (PES), polyvinylidene fluoride (PVDF),polytetrafluoroethylene (PTFE), polypropylene, nylon, polyvinylchloride(PVC), polyamide, or any similar materials. The support member 180 maybe, for example, the glass component discussed with reference to FIG. 6or FIG. 10. Hence, the support member 180 adds mechanical strength tothe slice of glass 182 having the nanochannel array 188. The nanochannelarray 188 may be any microfluidic flowing liquid junction as has beendescribed above.

FIG. 17 is a schematic, cross-sectional, assembly view of themicrofluidic flowing liquid junction and filtration members 202′, 202″,and 203″ described with reference to FIG. 16. In this embodiment,support members 203 and 203′ separate the filtration members 202, 202′,and 202″ from each other, while support member 203″ separates filtrationmember 202″ from the support 180. As is shown, the support members 203,203′, and 203″ may be configured to provide gaps 203A, 203A′, and 203A″for receiving a layer of electrolyte. In other embodiments, however, theassembly 210 may be configured without such gaps. In that case, thesupport members 203A, 203A′, and 203A″ may not be incorporated into theassembly 210; rather, the filtration members 202, 202′, and 202″ areplaced directly adjacent to one another. The structures 180 and 182 maybe considered an alternative embodiment of the junction structure 204,as shown in both of FIGS. 14 and 15.

In a preferred embodiment of the enhanced junction, the size of theinner diameter of the pores of the filter 202 (Ø_(F)) is smaller thanthe inner diameter of the nanochannels of the liquid junction structure204 (Ø_(J)). For example, Ø_(F) may be 100 nm while Ø_(J) may be 400 nm.In another embodiment, comprising plural filtration members 202 and202′, filtration member 202 has pores with inner diameter of 50 nm, andfiltration member 202′ has pores with inner diameter of 100 nm, whilethe liquid junction structure 204 has nanochannels with inner diameterof 400 nm. Alternatively, the inner diameter of the pores of the filters202 or 202′ are substantially the same as the pores of the liquidjunction member 204.

Another feature of the enhanced junction assembly 200 is that the numberof pores in the filter 202 is greater, and preferably substantiallygreater, than the number of nanochannels in the liquid junctionstructure 204. For example, the number of pores in the filter 202 may be10⁶, while the number of nanochannels in the liquid junction structure204 may be as low as 10, 100 or 1000.

Another aspect of the enhanced junction assembly is that preferably thevolumetric flow capacity of the filter 202 is greater than that of theliquid junction structure 204. This is to ensure that the liquidjunction structure 204 is the structure that limits the linear flow rateof the electrolyte exiting the reference electrode. The flow ratecapacity of the liquid junction structure 204 is preferably lower thanthat of any one filtration member 202, 202′, or 202″, etc.

In some embodiments, the filtration members 202, 202′, and 202″ arepreferably configured such that the flow rate through the filtrationmembers 202, 202′, and 202″ does not result in a significant pressuredrop across the filtration members.

In operation, a reference electrode 100 is configured with an enhancedjunction assembly 210 in substantially the same way as shown in FIG. 1,except that the junction structure 102 is replaced with the enhancedjunction assembly 210 of FIG. 16. The pressurized electrolyte 110 flowsthrough the filtration member 202 and into the space 203A defined by thesupport member 203. The filtration member 202 substantially preventssubmicron particulates from passing into the space 203A.

Even with the use of cleanroom technologies, it is difficult to produceelectrolyte solution that is completely free of particulates that mayclog the nanochannels of the liquid junction structure 204. Hence, afilter member, for example 202, may be thought of as performing“internal filtration” which results in cleaner electrolyte solution thancan be achieved otherwise. By preventing relatively large particulatesfrom passing into the space 203A, the filtration member 202 preventsthese particulates from clogging the relatively smaller nanochannels ofthe liquid junction structure 188, for example.

Preferably the enhanced junction assembly comprises a space between thefiltration member 202 and the liquid junction structure 204 toaccommodate a layer of electrolyte. This space need not be large, justsufficient to accommodate a layer of electrolyte.

With reference to FIG. 14, the filter 202 is preferably configured to bea low flow resistance filter. The filter 202 is positioned between theelectrolyte reservoir 110 and the microfluidic flowing liquid junction204. The low resistance filter 202 is positioned upstream from theliquid junction structure 204 and may contain multiple filtrationmembers. The total flow resistance of the filters 202, 202′, and 202″ ispreferably lower than the flow resistance associated with the liquidjunction structure 204 to ensure that the rate of electrolyte flowthrough the liquid junction is limited only by the liquid junctionstructure 204. Hence, the filters 202, 202′, and 202″ are mostpreferably configured such that the pressure drop across these filtersis much less than the pressure drop across the entire liquid junction.The filters 202, 202′, and 202″ provide “internal filtration” of theelectrolyte 110 which prevents particulates present in the electrolyte110 from clogging the nanochannels of the microfluidic flowing liquidjunction 204. The inner diameter of the pores the filter 202 adjacent tothe junction array 204 is preferably substantially the same as orsmaller than the inner diameter of the nanochannels in the liquidjunction structure 204.

The filtration member 202 has a plurality of pores that may be of anyshape, placed in a regular or irregular pattern, and are preferablysubstantially evenly distributed throughout the surface area of thefiltration member 202. The filtration member 202 may also be of anyshape.

Preferred Embodiments Experimental Results and TheoreticalConsiderations

Experimental data and theoretical considerations based on experimentsusing preferred embodiments will now be described with reference toTable 5 below.

In the experiment denominated E-1007, as can be observed, the firstfiltration member (Filter 1) has pores with an average inner diameter(in this example, 100 nm) that is less than one-half the average innerdiameter of the nanochannels of the liquid junction structure (in thisexample, 231 nm). However, the number of pores in the Filter 1 (in thisexample, 12.6×10⁶) is much greater than the number of pores in theliquid junction structure (in this example, 12.6×10³). Additionally, thelength of the nanochannels of the liquid junction structure (in thisexample, 15 μm) is greater than the length of the pores of thefiltration member 1 (in this example, 6 μm). Consequently, the Filter 1has a low calculated resistance (in this example, 0.0607 kO) that ismuch smaller than the resistance of the liquid junction structure (inthis example, 28.42 kO). This ensures that the Filter 1 is capable ofallowing a much greater flux of electrolyte than the liquid junctionstructure, and consequently, the liquid junction structure is thevolumetric flow rate limiting structure. Thus, here, electrolyticresistance serves as an approximation of the reciprocal of thevolumetric flow.

Experiments E-1019, E-1022, and E-1023 show similar configurations asthat exemplified by E-1007, where the filter, or filters in the case ofE-1022, has a resistance that is much smaller than the resistance of itsassociated liquid junction structure. It will be apparent to the personof ordinary skill in the relevant technology that a low resistancefilter may be configured through suitable selection of the number ofpores, the inner diameter of the pores, and the pore length.

TABLE 5 Enhanced Junction Junction Experiment Filter 2 Filter 1Structure Assembly E-1007 (Osmonics) (Osmonics) number of pores — 12.6 ×10⁶ 12.6 × 10³ pore inner diameter (nm) — 100 231 pore length (μm) — 615 calculated resistance* (k?) — 0.0607 28.42 28.48 E-1019 (Whatman)(Osmonics) (Osmonics) number of pores — 3.14 × 10⁶ 3.14 × 10³ pore innerdiameter (nm) >20 100 280 pore length (μm) 60 6 15 calculated resistance(k?) <<0.2434* 0.2434 77.62 77.86 E-1022 (Osmonics) (Osmonics)(Osmonics) number of pores 3.14 × 10⁶ 3.14 × 10⁶ 628 pore inner diameter(nm) 200 100 175 pore length (μm) 6 6 6 calculated resistance (k?)0.0609 0.2434 397.4 397.7 E-1023 (Osmonics) (Osmonics) number of pores —3.14 × 10⁶ 628 pore inner diameter (nm) — 100 175 pore length (μm) — 6 6calculated resistance (k?) — 0.2434 397.4 397.6 *Resistances werecalculated assuming a 4M KCl electrolyte solution. **The resistance forthis filter could not be calculated, but was assumed to be negligibleand a value of 0? was used for purposes of this table.Performance of a Filter-Enhanced Microfluidic Flowing Liquid Junction

Table 6 below provides experimental test data for flow cells (referenceelectrodes lacking a Ag/AgCl half-cell) having exemplary enhancedjunction assemblies within the scope of the present invention. Thematerial of the exemplary junction structures was obtained from OsmonicsLaboratory Products (Westborough, Mass., USA), part No. AI54CL91I. Table6 was generated based on the actual, experimentally determined dataderived from enhanced junction assemblies using one or more filters inconjunction with a microfluidic flowing liquid junction structure suchas those described above.

Experiment E-1007 was performed with a flow cell having a liquidjunction structure matched with a suitable high flux, high capacityfiltration member. The liquid Junction structure comprised an array ofnanochannels, wherein the inner diameter of the nanochannels wasapproximately 231 nm and the length of the nanochannels was about 15microns. The liquid junction structure had about 12.6×10³ totalnanochannels. The filtration member selected to work in conjunction withthe liquid junction structure comprised nanochannels having an innerdiameter of about 100 nm and a length of approximately 6 microns. Thetotal number of nanochannels in the filtration member was approximately12.6×10⁶.

From the values of the parameters stated above, it follows that thetotal number of nanochannels in the filtration member was greater thanthe total number of nanochannels in the liquid junction structure by afactor of 1,000. The inner diameter of the nanochannels of the liquidjunction structure was more than twice the size of the inner diameter ofthe nanochannels in the filtration member. The length of thenanochannels of the liquid junction structure was about 2.5 times largerthan the corresponding length of the nanochannels of the filtrationmember.

Experiment E-1007 was performed at a pressure of 40 psig. The flow cellwas tested for a period of approximately 6,000 hours (approximately ninemonths), and it exhibited a normalized average flow rate of 55 μl/hr. Asis illustrated by FIG. 18, the electrolyte flow rate from the referenceelectrode remained substantially constant for over a period of at leastapproximately 6,000 hours.

Experiment E-1022 was performed with a flow cell having a liquidjunction structure that comprised an array of nanochannels, wherein theinner diameter of the nanochannels was approximately 175 nm and thelength of the nanochannels was about 6 microns. The liquid junctionstructure had about 600 nanochannels. Two filtration members wereconfigured to work in conjunction with the liquid junction structure.Filtration member 1 had approximately 3.14×10⁶ nanochannels, which hadan average inner diameter of about 100 nm and a length of approximately6 microns. Filtration member 2 had approximately 3.14×10⁶ nanochannels,which had an inner diameter of about 200 nm and a length ofapproximately 6 microns.

The E-1022 experiment data illustrates that the total number ofnanochannels of each of the filtration members was greater than thetotal number of nanochannels in the liquid junction structure by afactor of about 5,000. The inner diameter of the nanochannels of theliquid junction structure was twice the size of the inner diameter ofthe nanochannels of Filter 1, and about the same size as that of Filter2. The length of the nanochannels of the liquid junction structure wasabout the same as the corresponding length of the nanochannels of eachof the filtration members.

Experiment E-1022 was performed at a pressure of 40 psig. The flow cellwas tested for approximately 2,300 hours, and it exhibited a normalizedaverage flow rate of about 8 μL/hr. FIG. 19 depicts a plot forExperiment E-1022. FIG. 19 shows that the flow cell using thefilter-enhanced microfluidic flowing liquid junction exhibited asubstantially constant electrolyte flow rate for at least about 2,500hours of operation.

Experiment E-1010 was performed with a flow cell having a liquidjunction structure matched with a suitable high flux, high capacityfiltration member. The liquid junction structure comprised an array ofnanochannels, wherein the inner diameter of the nanochannels wasapproximately 276 nm and the length of the nanochannels was about 15microns. The liquid junction structure had about 12.6×10³ totalnanochannels. The filtration member comprised nanochannels having aninner diameter of 100 nm and a length of 6 microns. The total number ofnanochannels in the filtration member was approximately 12.6×10⁶.

The data of the E-1010 experiment show that the total number ofnanochannels in the filtration member was greater than the total numberof nanochannels in the liquid junction structure by a factor of 1000.The inner diameter of the nanochannels of the liquid junction structurewas twice the size of the inner diameter of the nanochannels in thefiltration member. The length of the nano channels of the liquidjunction structure was about 2.5 times larger than the correspondinglength of the nanochannels of the filtration member.

Experiment E-1010 was performed at a pressure of 40 psig. The flow cellwas tested for approximately 1939 hours, and it exhibited a normalizedaverage flow rate of 82 μL/hr.

The other experiments tabulated in Table 6 may be interpreted in amanner similar to the three experiments described so far. Additionally,FIG. 20 shows data plots for experiments E-1011 and E-1012, alsopresented in Table 6.

TABLE 6 Experiment number E1007 E1009 E1010 E1011 E1012 Status ActiveCompleted Completed Active Active Junction array: Channel length (μm) 1515 15 15 15 Channel diameter (nm) 231 261 276 261 285 Total # ofchannels 1.26 × 104 1.26 × 104 1.26 × 104 1.26 × 104 1.26 × 104 SourceOsmonics Osmonics Osmonics Osmonics Osmonics Filtration Member 1:Channel length (μm) 6 6 6 6 6 Channel diameter (nm) 100 100 100 100 100Total # of channels 1.26 × 107 1.26 × 107 1.26 × 107 1.26 × 107 1.26 ×107 Source Osmonics Osmonics Osmonics Osmonics Osmonics FiltrationMember 2: Channel length (μm) 60 Channel diameter (nm) 20 Total # ofchannels    1 × 1011 Source Whatman Conditions: Initial pressure (psig)40 40 40 40 40 Experiment duration (hours) 5684 2808 1939 5275 5278 Flowrate: Initial flow rate (μl/hr) 58 94 118 94 134 Final flow rate (μl/hr)/ 50 46 / / Max. flow rate (μl/hr) 65 101 127 96 134 Min. flow rate(μl/hr) 11 67 10 24 24 Average normalized flow rate (μl/hr) 57 88 82 87107 Total flow volume (ml/mm²) 97 71 22 83 123 Experiment number E1016E1018 E1019 E1022 Status Active Completed Active Active Junction array:Channel length (μm) 15 15 15 6 Channel diameter (nm) 280 284 280 175Total # of channels 3.14 × 103 3.14 × 103 3.14 × 103 6.28 × 102 SourceOsmonics Osmonics Osmonics Osmo/BJC Filtration Member 1: Channel length(μm) 6 6 6 6 Channel diameter (nm) 100 100 100 100 Total # of channels3.14 × 106 3.14 × 106 3.14 × 106 3.14 × 106 Source Osmonics OsmonicsOsmonics Osmonics Filtration Member 2: Channel length (μm) 60 60 60 6Channel diameter (nm) 20 20 20 200 Total # of channels    1 × 1011    1× 1011    1 × 1011  5.5 × 105 Source Whatman Whatman Whatman OsmonicsConditions: Initial pressure (psig) 40 40 40 40 Experiment duration(hours) 4846 1537 4440 3454 Flow rate: Initial flow rate (μl/hr) 32 3753 6 Final flow rate (μl/hr) / 52 / / Max. flow rate (μl/hr) 44 54 63 9Min. flow rate (μl/hr) 9 24 39 6 Average normalized flow rate (μl/hr) 2741 51 8 Total flow volume (ml/mm²) 117 81 250 25Technical, Computational and Theoretical Analyses

Although the invention is not limited to any specific explanation oftheory to explain why or under what conditions it performs as describedherein, the following technical, computational and theoretical analysesare advanced to explain the invention.

The technical aspects of the microfluidic flowing liquid junction of theinvention are addressed. The theoretical and practical requirements of astable liquid junction are described, and the advantages of using amicrofluidic flowing liquid junction are described and presented.Calculations and references demonstrate that the inventive use ofmicrofluidic and nanopore technology lead to a stable liquid junctionpotential.

Potentiometric measurements are necessarily made using two electrodes.One electrode is the sensing electrode, which changes its potential withthe concentration, or activity, of the analyte, e.g., a_(i) in eq. (1).The other electrode is the reference electrode, which ideally generatesa constant half-cell potential, E_(ref), eq. (1). The potential at eachelectrode is characteristic of the physicochemical state of theelectrode system, for example, the potential depends on temperature,pressure and the chemical composition of the system. The potential ofthe reference half-cell remains constant by placing the electrode in aseparate compartment with its own electrolyte. The reference compartmenthas a conductive path to the sample solution. The arrangement of theelectrode, the reference electrolyte and the conductive path is known asthe reference electrode. See Midgley, K.; Torrance, K. PotentiometricWater Analysis, 2^(nd) ed.; John Wiley & Sons: New York, 1991; p 12. Theinterface between the reference electrode and the sample solution is theliquid junction, which contributes a potential, E_(junc). The sum of thesensing and reference electrode potentials, and the liquid junctionpotential is the measured cell potential, E_(cell), eq. (1).

$\begin{matrix}{E_{cell} = {( {E_{i}^{o} + {\frac{RT}{nF}\log\; a_{i}}} ) + E_{{ref}.} + E_{{junc}.}}} & (1)\end{matrix}$

In order to determine the liquid junction potential accurately (seeBates, R. G. The Determination of pH; John Wiley and Sons: New York,1973), or to minimize it (see Horvai, G.; Bates, R. G. Anal. Lett. 1989,22, 1293), the overall composition of the sample must be known a priori.However, in most chemical analyses the desire is typically not toprecisely determine or even minimize the liquid junction potential, butrather that the potential remain substantially constant and unchangingso that a reliable calibration can be made. There is typically no needto determine the liquid junction potential, but there is a need that thepotential be substantially invariant from one test measurement toanother at a given temperature and pressure. See IUPAC, Quantities,Units and Symbols in Physical Chemistry; Mills, I. Ed.; Blackwell:Oxford, 1993; p 62. Accurate potentiometric measurements thus depend onthe constancy of the liquid junction potential. However, there is afundamental limitation with the accuracy in potentiometric measurementsdue to a number of theoretical and practical limitations including adrifting, non-constant liquid junction potential.

The performance of a reference electrode not only depends on thechemical properties of the electrode, but also on the physicalarrangement of the liquid junction. The four main physical criterion ofsubstantially invariant liquid junction include, see Midgley, D.;Torrance, K. Potentiometric Water Analysis, 2^(nd) ed.; John Wiley andSons: New York, 1991; p 46, (i) the junction structure should beconstant, (ii) stirring or streaming of the sample solution should notaffect the reference potential, (iii) particulate matter from the sampleshould not clog the junction, and (iv) solution from one sample shouldnot be retained in the junction and carried over to the next sample. Theaccuracy of any potentiometric measurement thus depends on the abilityof the liquid junction design to meet these requirements.

Currently commercially available reference electrodes use an assortmentof liquid junction structures and designs to protect the referenceelectrolyte from the sample. These materials include porous ceramic,porous Teflon, wood, asbestos, and various fibers. Designs with doublejunctions, glass-sleeves, and fused salts are also used. All thesematerials and designs are meant to keep the reference environmentconstant. However, even if the reference solution remains unchanged, theliquid junction can become contaminated with the sample solution. Thisinevitably alters the potential of the liquid junction, and requires theelectrochemical sensor to be recalibrated. A changing liquid junction istypically why an electrochemical sensor requires frequent recalibration.

The most stable, reproducible, and reliable reference electrode designsincorporate a flowing-liquid junction. See Covington, A. K.; Whalley, P.D.; Davison, W. Anal. Chim. Acta 1985, 169, 221; Illingworth, J. A.Biochem. J. 1981, 195, 259; Wu, Y. C.; Feng, D.; Koch, W. F. J. SolutionChem. 1989, 18, 641; Ito, S.; Kobayashi, F.; 1 Baba, K.; Asano, Y.;Wada, H. Talanta 1996, 43, 135; Peters, G. Anal. Chem. 1997, 69, 2362;Lvov, S. N.; Zhou, X. Y.; Macdonald, D. D. J. Electroanal. Chem. 1999,463, 146; Brezinski, D. P. The Analyst 1983, 108, 425. The constant flowof reference electrolyte through the liquid junction helps it maintain aconstant composition by the continual renewal of fresh electrolyte. Thedisadvantage of using such an electrode is that it requires considerablemaintenance because the reference cell must be frequently refilled withelectrolyte. For this reason, flowing junctions are usually onlysuitable for the laboratory environment. Another problem of a typicalflowing-reference electrode is that if the sample is at a pressurehigher than the reference reservoir, the reference cell will readilybecome contaminated with the sample. Because of these disadvantages, inrecent years, the convenience and low maintenance of diffusion-stylejunctions has replaced the flowing-liquid junction in industrialapplication.

A superior flowing-liquid junction has been developed by combiningmicrofluidic materials and nanomaterials. The electrolyte has acontinual flow of small, manageable volumes of electrolyte through thejunction with a linear velocity sufficient to eliminate contamination ofthe junction and/or contamination of the reference electrolyte. Themicrofluidic flowing liquid junction provides the superior stability andperformance of a flowing liquid junction yet remain maintenance-free forextended periods of time, including a week, two weeks, a month, sixmonths, a year, or two years.

When miniaturizing chemical and physical processes, as in microfluidics,scaling laws must be considered. In addition, modeling fluid mechanicsrequires that correct assumptions as to the type of flow be made.Microfluidics typically have very low Reynolds numbers, Re<1, see Madou,M. Fundamentals of Microfabrication; CRC Press: New York, 1997; p 429,where viscous forces dominate. A consequence of viscous flow is thateach microscopic fluid element follows a fixed path or streamline. Anysubsequent fluid element, starting at the same point, will follow thesame streamline along its entire course. See Giddings, J. C. UnifiedSeparation Science; John Wiley and Sons: New York, 1991; pp. 58-63. Sucha flow pattern creates a reproducible, non-varying, and predictablestructure, like that desired in a flowing-liquid junction. Tocharacterize the flow through a liquid junction the velocity profilesmust be determined.

To determine the velocity profile through a microchannel or nanochannel,all of the external forces acting on the fluid are to be balanced.First, the Newtonian acceleration (or inertial) forces are significantfor only a brief moment before steady flow is achieved in very smallchannels, see Giddings, J. C. Unified Separation Science; John Wiley andSons: New York, 1991; pp. 58-63, and can be neglected. Second, all ofthe fluidic elements under consideration terminate as a suddenexpansion. This implies that the kinetic energy of the fluid is nottransferred from one element to the next. See Gravesen, P.; Branebjerg,J.; Jensen, O, S. J. Micromech. Microeng. 1993, 3, 168. Third, in verysmall channels gravitational forces may be neglected since the pressurerequired to induce steady flow is typically much larger than thegravitational force, i.e., Δp>>ρgh. See Giddings, J. C. UnifiedSeparation Science; John Wiley and Sons: New York, 1991; pp. 58-63. Byneglecting acceleration, kinetic, and gravitational forces we need onlybalance the pressure acting against the viscous forces in order todetermine the velocity profile through a microchannel. Flow through verysmall channels is described by the Hagen-Poiseuille equation, eq. (2).The flux, Q (L/s), or the rate of flow through a cross-sectional area ofa single channel, is a function of the channel dimensions, thedifferential pressure, and the properties of the solution.

$\begin{matrix}{Q = \frac{\pi\;\Delta\; p\; r_{o}^{4}}{8\; L\;\eta}} & (2)\end{matrix}$

In eq. (2) Δp is the pressure differential at the two ends of thechannel, r_(o) and L are the radius and length of the channel,respectively, and η is the solution viscosity. (All of the calculationsin this proposal have assumed that the viscosity of the electrolyte isequal to 1.0 cp.) See All pure aqueous KCl solutions have a viscositybetween 0.9 and 1.1 cp. Hai-lang, Z.; Shi-Jun, H. J. Chem. Eng. Data1996, 41, 516. Examination of eq. (2) indicates that Q∝r_(o) ⁴, thus,simply constricting the cross section of a channel will greatly diminishthe flow through it. However, decreasing the cross-sectional area of achannel increases the electrolytic resistance. The conductance through acylindrical channel can be calculated by using eq. (3).

$\begin{matrix}{G = {\frac{1}{R} = \frac{\lambda\; C\;\pi\; r_{o}^{2}}{L}}} & (3)\end{matrix}$

The electrolytic resistance of the channel is taken as the reciprocal ofthe cell conductance, G. λ is the equivalent ionic conductance, C is theelectrolyte concentration, A and L are the cross-sectional area andlength of the channel, respectively. λ for a 4.0 M KCl solution is ˜10⁻²m² S mol⁻¹. See Handbook of Chemistry and Physics, 71^(st) ed.; Lide, D.R., Ed.; CRC Press: Ann Arbor, 1990. To minimize the electrolyteflow-rate and the electrolytic resistance by simply reducing the size ofa single channel is impractical, since the electrolytic resistancerapidly becomes too high when the channel radius<˜1 μm. For example, thecalculated electrolytic resistance, using eq. (3), of a 1-mm longchannel with a 1-μm radius containing 4.0 M KCl is ˜8 MΩ. Thisresistance is higher than is conventionally believed to produceacceptable results with typical commercial instrumentation. Fortunately,flow decreases as the fourth power of the radius while resistanceincreases as the square of the radius. Decreasing channel cross sectionbut increasing the number of channels is a practical way to reduce theelectrolytic resistance while maintaining the desired low flow.

Preferred embodiments of the present invention use an array ofnanochannels as a liquid junction structure to minimize both the flowrate and electrolytic resistance. For example, while a singlenanochannel with a 5 nm radius and a 6 μm length (see Nishizawa, M.;Menon, V. P.; Martin, C. R. Science 1995, 268, 700) has a theoreticalelectrolytic resistance of about 1,000 MΩ in 4.0M KCl (eq. (3)), anarray having 10⁵ nanochannels—each nanochannel having a 5 nm radius anda 6 μm length—will have a theoretical electrolytic resistance of lessthan 100 kΩ.

Calculations thus far show that a microfluidic flowing liquid junctioncan provide the desired flow control and electrolytic conductivity toachieve a commercial product. Next, the electrolyte velocity needed tominimize the back diffusion of a sample into the liquid junction iscalculated. The average solution velocity through a single nanochannelcan be calculated by dividing the flux, Q, eq. (2), by thecross-sectional area of the nanochannel.

$\begin{matrix}{v = \frac{Q}{\pi\; r_{o}^{2}}} & (4)\end{matrix}$

Using eqs. (2) and (4), the flux through a nanochannel array and theaverage velocity (v) through a single nanochannel are plotted in FIG. 12as a function of the nanochannel radius. The calculations assume asteady pressure difference of 40 psi. The flux is plotted as the sensorlife assuming a 50 ml reservoir of electrolyte. The array contains 10⁵nanochannels and is 6 μm long. A 50 ml reservoir will be sufficient forcontinuous operation of a year or more for nanochannel radii less thanapproximately 30 nm. The radii of the nanochannels or microtubes mayalso have radii of less than approximately 20 nm, less thanapproximately 40 nm, less than approximately 50 nm, or less thanapproximately 60 nm. By increasing the volume of the reservoir, or bydecreasing the number or density of the nanochannels, the lifetime of asensor can be adjusted as needed, as will be appreciated by those ofordinary skill in the art.

An order of magnitude estimate of the electrolyte velocity needed todiminish diffusion of the sample into the liquid junction is calculated.A hydrodynamic model is used to model the convective-diffusion transportthrough a nanochannel. This model neglects electrostatic interactionsand migrational effects. Diffusion of the sample into the liquidjunction is described by Fick's first law, N_(D)=−D∇C, and theconvective flux is N_(v)=Cv. The sum of the diffusional and convectivefluxes is the total flux, eq. (5).

$\begin{matrix}{N = {{{- D}\frac{\mathbb{d}C}{\mathbb{d}x}} + {Cv}}} & (5)\end{matrix}$

In eq. (5) C is the concentration of the sample at position x in thechannel. v is the convective velocity of the electrolyte solution, andis approximated as the average solution velocity through the channel.Integration of the continuity equation, ∇·N=0, with boundary conditions,C=C_(o) at x=l and C=0 at x=0, where C_(o) is the initial concentrationof the sample, and l is the length of the nanochannel, yields theconcentration profile for convective-diffusion through a nanochannel.

$\begin{matrix}{\frac{C}{C_{o}} = \frac{{\exp( \frac{vx}{D} )} - 1}{{\exp( \frac{vl}{D} )} - 1}} & (6)\end{matrix}$Preferred Laboratory System Embodying the Invention

A system according to a preferred embodiment of the invention wasassembled. This system was used to test electrodes at controlledtemperatures, pressures and agitation rates. The system consists of a 50ml pressure cell, which can handle pressures as high as 45 psig asequipped. The laboratory test system mimics the different, sometimesharsh environments to which sensors may routinely be exposed inindustrial or field applications. The cell is exposed to temperaturesfor example, within 0.1° C., in a precision temperature bath. Amechanical stirrer provides adequate agitation and mixing of the testsolution. All of the instrumentation is linked to a computer for dataacquisition and archiving of the experimental measurements.

Theoretical Aspects of the Preparation and Characterization of theNanochannel Array

The Au nanochannel arrays that were used as the liquid junctionstructure were prepared via a general approach for preparingnanomaterials called “template synthesis.” See Hulteen, J. C.; Martin,C. R. J. Mater. Chem. 1997, 7, 1075. The template method entails thesynthesis of a desired material within the channels of a microporousmembrane. The membranes employed have cylindrical channels withmonodisperse diameters that run the complete thickness of the membrane.Corresponding cylindrical nanostructures of the desired material areobtained within the channels.

A commercially available microporous polycarbonate filtration membranemay be used as the template to prepare the nanochannel arrays. Thismembrane contains monodisperse and cylindrical pores. An electronicplating procedure is used to deposit Au nanochannels within these pores.See Nishizawa, M,; Menon, V. P.; Martin, C. R. Science 1995, 268, 700;Hulteen, J. C.; Martin, C. R. J. Mater. Chem. 1997, 7, 1075; Hulteen, J.C.; Martin, C. R. J. Am. Chem. Soc. 1998, 26, 6603; Menon, V. P.;Martin, C. R. Anal. Chem. 1995, 67, 1920. This Au plating procedure iswell known in the art.

The template membrane may be first rinsed in methanol and then immersedin a 0.025 M SnCl₂ and 0.07 M in trifluoroacetic acid solution. Thisresults in “sensitization” of the membrane, typically meaning theadsorption of Sn(II) to the channel walls and membrane surfaces. Thesensitized membrane is then immersed into an aqueous solution ofammoniacal AgNO₃. This causes the following surface redox reaction,2Ag⁺+Sn(II)→2Ag^(o)+Sn(IV)  (7)

and the channel walls and membrane phases become coated with nanoscopicAg particles. These particles act as the initial catalyst forelectroless Au deposition. Finally, the membrane may be placed in a goldplating bath, which contains 0.5 ml of a commercially-available goldplating solution, 0.127 M Na₂SO₃, 0.625 M formaldehyde and 0.025 MNaHCO₃. The solution may be adjusted to pH 10 by dropwise addition of0.5 M H₂SO₄. The temperature of this plating bath is typicallymaintained at 5° C. The inside diameter of the Au nanochannels depositedwithin the pores of the array is adjusted by varying the plating time,which typically refers to the immersion time in the Au plating bath.

This procedure is optionally used to prepare arrays containing Aunanochannels with inside diameters of molecular dimensions (<1 nm). SeeNishizawa, M,; Menon, V. P.; Martin, C. R. Science 1995, 268, 700;Hulteen, J. C.; Martin, C. R. J. Mater. Chem. 1997, 7, 1075; Hulteen, J.C.; Martin, C. R. J. Am. Chem. Soc. 1998, 26, 6603; Menon, V. P.;Martin, C. R. Anal. Chem. 1995, 67, 1920; Petzny, W. J.; Quinn, J. A.Science 1969, 166, 751. Ion-transport in these arrays has been studied,see Nishizawa, M,; Menon, V. P.; Martin, C. R. Science 1995, 268, 700.The resulting nanochannels are ion permselective and may be reversiblyswitched between anion-transporting and cation-transporting states.

The inside diameters of the Au nanochannels may be readily approximatedby measuring the flux of H₂ gas across the nanochannel array. SeePetzny, W. J.; Quinn, J. A. Science 1969, 166, 751. See also Liu, C.,Texas A&M University, College Station; 1991. The nanochannel samples arethen placed in a vacuum oven for at least 12 hours prior to making theflux measurements, to remove traces of water or other volatile speciesabsorbed in the nanochannels. Reproducible values of flux are bestobtained when nanochannels are pretreated in this manner. Thenanochannel array may then be placed in the gas-permeation cell, and theupper and lower half-cells evacuated. The upper half is pressurized to20 psig with H₂, and the pressure-time transient associated with leakageof H₂ through the nanochannels into the lower half-cell was measured.This is converted to the flux of gas, from which the average nanochanneldiameter may be approximated. Assuming gas-transport through ananochannel array occurs via Knudsen diffusion, the flux of gas, Q_(gas)(moles cm⁻² s⁻¹), is related to the pore density, n (pores cm⁻²), thepore diameter, d (cm), and the membrane thickness, L (cm) using eq. (8):

$\begin{matrix}{({gas})_{Q} = \frac{8\;\pi\; n\; d^{3}\Delta\; p}{3\;{MRTL}}} & (8)\end{matrix}$

Δp is the pressure difference across the membrane (dynes cm⁻²), M is themolecular weight of the gas, R is the gas constant (erg K⁻¹ mol⁻¹), andT is the temperature (K). In our experiment, we know all of theparameters in eq. (8), except d.

A variety of nanochannel arrays of various sizes and materials may beconstructed and used. These include different radii for example, (10,20, 30 and 40 nm), and substrate materials, for example, (polycarbonateand polyester), and two Au surfaces. The inside diameter of thenanochannels may be varied by the plating time, which have beencharacterized for precise nanochannel dimensions. Au nanochannels and Aunanochannels with an adsorbed propanethiol monolayer are preferred.Chloride ions readily adsorb on gold surfaces, thus, in 4.0 M KClreference solutions the Au nanochannels will have a net negative charge.However, the nanochannels pretreated with propanethiol have an inert,uncharged monolayer that prevents chloride ions from adsorbing.

Alternatively, addition of a propanthiol monolayer is accomplished byimmersing the array into an ethanol solution containing the thiol. Thissmall thiol molecule does not appreciably change the nanochannel insidediameter when the diameter>˜5 nm. For this reason, there is no need toredetermine the nanochannel inside diameter after chemisorption of thethiol. In addition, the propanethiol-modified Au nanochannels remainwater “wetable” after addition of the thiol. See Nishizawa, M,; Menon,V. P.; Martin, C. R. Science 1995, 268, 700.

Theoretical Discussion of Low Resistance Filtration Members Used inConjunction with a Liquid Junction Structure in the Enhanced JunctionAssemblies

Flux capacity of the filter member is proportional to the reciprocal ofthe resistance of the filter member. Accordingly, the electrolyticresistance is an excellent comparative measure of the flux capacity ofthe filter members and of the junction array structures. Electrolyticresistance measurements are used to judge the suitability of the use ofa filter member with a particular junction array structure.

The resistance of the filter member should be equal to or less than theresistance of the junction array so that the junction array alwaysdetermines the volumetric flow rate through the enhanced microfluidicliquid junction structure. Preferably, the filter member will have aresistance that is much less than that of the junction structure.Selection of a suitable filter member or multiple filter members for usewith a certain junction array structure can be made by comparativeelectrolytic resistance measurements. The sum of the resistances of thefilter members preferably should be much less than the resistance of thejunction array structure.

With reference to FIG. 14, the total electrolytic resistance across theliquid junction can be defined as the sum of the resistances of thefiltration members 202, 202′, and 202″ added to the resistance of themicrofluidic flowing liquid junction 204. This can be expressed by thefollowing equation:R _(total)=Σ_(i) R _(i) +R _(j)  (9)where R_(j) is the resistance of the liquid junction structure andΣ_(i)R_(i) is the cumulative resistance across the filters 202, 202′,and 202″, where R_(i) is the resistance of an individual filtrationmember, e.g., filter 202.

The resistance of an individual filtration member 202 or junctionstructure 204 is given by

$\begin{matrix}{R_{i} = {\frac{L}{\lambda\;{CA}} = \frac{L}{\lambda\;{Cn}\;\pi\; r^{2}}}} & (10)\end{matrix}$

where L is the length of the filter member or junction structure, λ isthe equivalent ionic conductance, C is the electrolyte concentration,and A is nπr², which is the total open area of the anisotropic filtermember or junction structure.

The electrolytic resistance is related to the flux of electrolytethrough an anisotropic structure using the following equation.

$\begin{matrix}{Q = {( \frac{1}{R_{i}} )( \frac{r^{2}\Delta\; p}{8\;\eta\; C\;\lambda} )}} & (11)\end{matrix}$

The variables in eq. (11) are listed and defined in the descriptive textfollowing eqs. (2), (3), and (10).

As explained above, preferably the liquid junction structure 204 is theonly structure that limits the volumetric flow rate (flux) ofelectrolyte exiting the reference electrode; hence, the filtrationmember 202 is capable of allowing a flow rate that is greater than orequal to the flow rate associated with the liquid junction structure204. Expressing this in resistance, it is preferable thatR _(j)≧Σ_(i) R _(i)  (12).

Since particulates in the electrolyte eventually clog some of the poresof the filtration members 202, 202′, and 202″, it is preferred thatR _(j)>>Σ_(i) R _(i)  (13).

The various articles of the scientific and/or medical literature, andthe U.S. and international and/or foreign patents and patentapplications cited herein are hereby incorporated by reference to theextent permitted by law. To the extent that each is incorporated byreference herein, each constitutes a part of the disclosure of thisspecification. Furthermore, specific embodiments, working examples, andprophetic examples of the invention have been described in detail toillustrate the broad applicability and principles underlying theinvention, such as the use of microfluidic flowing liquid junction aspart of a reference electrode or as part of a combination electrode, andthe various methods of manufacturing and/or using the microfluidicflowing liquid junction, or of manufacturing and/or using a referenceelectrode or a combination electrode comprising a microfluidic flowingliquid junction. Notwithstanding these specific embodiments, workingexamples, and prophetic examples, it will be understood by those ofskill in the art that the invention may be embodied otherwise withoutdeparting from such broad applicability and principles.

1. A flowing junction reference electrode comprising: a microfluidicliquid junction member situated between a pressurized referenceelectrolyte solution and a sample solution, the junction membercomprising fewer than approximately 100,000 discrete nanochannels; and afilter member comprising a plurality of pores, wherein the diameter ofany one pore is less than the diameter of any one nanochannel, andwherein the filter member is adapted to allow flow of the electrolytesolution through the filter member and into the junction member.
 2. Theelectrode of claim 1, wherein the junction member comprises greater thanapproximately 10 nanochannels and less than approximately 10,000nanochannels.
 3. The electrode of claim 2, wherein the junction membercomprises less than approximately 100 nanochannels.
 4. The electrode ofclaim 1, wherein the nanochannels are substantially straight andsubstantially parallel to one another.
 5. The electrode of claim 1,wherein the width of any one nanochannel is substantially equal to thewidth of any other nanochannel.
 6. The electrode of claim 1, wherein thenanochannels have widths of greater than approximately 1 nanometer andless than approximately 900 nanometers.
 7. The electrode of claim 1,wherein the nanochannels have widths of greater than approximately 100nanometers and less than approximately 500 nanometers.
 8. The electrodeof claim 1, wherein the filter member comprises a plurality of pores,and wherein the pores are substantially straight and substantiallyparallel to one another.
 9. The electrode of claim 1, wherein the filtermember is configured to permit a volumetric flow of electrolyte solutionthrough the filter member that is approximately equal to or greater thanthe volumetric flow capacity of the junction member.
 10. The electrodeof claim 1, wherein the nanochannels are coated.
 11. The electrode ofclaim 1, wherein the junction member comprises a polymer selected fromthe group consisting of polycarbonate and polyimide.
 12. The electrodeof claim 1, wherein the junction member comprises a material selectedfrom the group consisting of silicon, glass, and ceramic.
 13. Theelectrode of claim 1, further comprising means for maintaining positivelinear flow of the electrolyte solution through the nanochannels andinto the sample solution.
 14. The electrode of claim 13, wherein themeans for maintaining positive linear flow of the electrolyte solutionthrough the nanochannels and into the sample solution is selected fromthe group consisting of a pressurized collapsible bladder, anelectro-osmotic pump, a mechanical pump, a piezo-electric pump, and aelectro-hydrodynamic pump.